Gros, Michel On a \(q\)-local deformation of the non-abelian Hodge theory into a positive characteristic. (Sur une \(q\)-déformation locale de la théorie de Hodge non-abélienne en caractéristique positive.) (French) Zbl 1440.14112 Bhatt, Bhargav (ed.) et al., \(p\)-adic Hodge theory. Proceedings of the Simons symposium, Schloss Elmau, Germany, May 7–13, 2017. Cham: Springer. Simons Symp., 143-160 (2020). MSC: 14F30 14G20 13A35 PDF BibTeX XML Cite \textit{M. Gros}, in: \(p\)-adic Hodge theory. Proceedings of the Simons symposium, Schloss Elmau, Germany, May 7--13, 2017. Cham: Springer. 143--160 (2020; Zbl 1440.14112) Full Text: DOI
Cánovas, Jose; Muñoz-Guillermo, M. On the dynamics of the \(q\)-deformed Gaussian map. (English) Zbl 1448.37022 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 8, Article ID 2030021, 13 p. (2020). MSC: 37C05 26A18 37B40 05A30 PDF BibTeX XML Cite \textit{J. Cánovas} and \textit{M. Muñoz-Guillermo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 8, Article ID 2030021, 13 p. (2020; Zbl 1448.37022) Full Text: DOI
Carvalho, P. R. S.; Sena-Junior, M. I. Influence of exact Lorentz-violating mechanism on the critical exponents for massive \(q\)-deformed \(\lambda \phi^4\) scalar field theory. (English) Zbl 1432.81051 Int. J. Mod. Phys. D 28, No. 8, Article ID 1950105, 11 p. (2019). MSC: 81T17 81T18 PDF BibTeX XML Cite \textit{P. R. S. Carvalho} and \textit{M. I. Sena-Junior}, Int. J. Mod. Phys. D 28, No. 8, Article ID 1950105, 11 p. (2019; Zbl 1432.81051) Full Text: DOI
Carvalho, P. R. S.; Sena-Junior, M. I. Exact Lorentz-violating \(q\)-deformed \(\mathrm{O}(N)\) universality class. (English) Zbl 1431.81107 Int. J. Mod. Phys. D 28, No. 3, Article ID 1950050, 10 p. (2019). MSC: 81T18 81T17 PDF BibTeX XML Cite \textit{P. R. S. Carvalho} and \textit{M. I. Sena-Junior}, Int. J. Mod. Phys. D 28, No. 3, Article ID 1950050, 10 p. (2019; Zbl 1431.81107) Full Text: DOI
Vigneaux, Juan Pablo Information theory with finite vector spaces. (English) Zbl 1432.94056 IEEE Trans. Inf. Theory 65, No. 9, 5674-5687 (2019). MSC: 94A17 94A24 PDF BibTeX XML Cite \textit{J. P. Vigneaux}, IEEE Trans. Inf. Theory 65, No. 9, 5674--5687 (2019; Zbl 1432.94056) Full Text: DOI
Kuzmin, Alexey; Pochekai, Nikolay Faithfulness of the Fock representation of the \(C^*\)-algebra generated by \(q_{ij}\)-commuting isometries. (English) Zbl 1413.46057 J. Oper. Theory 80, No. 1, 77-93 (2018). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L35 46L65 46K10 PDF BibTeX XML Cite \textit{A. Kuzmin} and \textit{N. Pochekai}, J. Oper. Theory 80, No. 1, 77--93 (2018; Zbl 1413.46057) Full Text: DOI
Arjika, Sama; El Moize, Othmane; Mouayn, Zouhaïr A \(q\)-deformation of the true-polyanalytic Bargmann transform. (Une \(q\)-déformation de la transformation de Bargmann vraie-polyanalytique.) (French. English summary) Zbl 1403.44001 C. R., Math., Acad. Sci. Paris 356, No. 8, 903-910 (2018). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 44A15 30H20 43A32 81Q35 PDF BibTeX XML Cite \textit{S. Arjika} et al., C. R., Math., Acad. Sci. Paris 356, No. 8, 903--910 (2018; Zbl 1403.44001) Full Text: DOI
Takemura, Kouichi On \(q\)-deformations of the Heun equation. (English) Zbl 1395.39003 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 061, 16 p. (2018). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 33E10 39A60 PDF BibTeX XML Cite \textit{K. Takemura}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 061, 16 p. (2018; Zbl 1395.39003) Full Text: DOI arXiv
Charles, Christoph; Livine, Etera R. The closure constraint for the hyperbolic tetrahedron as a Bianchi identity. (English) Zbl 1381.83003 Gen. Relativ. Gravitation 49, No. 7, Paper No. 92, 46 p. (2017). MSC: 83-02 83C45 83C25 83C27 PDF BibTeX XML Cite \textit{C. Charles} and \textit{E. R. Livine}, Gen. Relativ. Gravitation 49, No. 7, Paper No. 92, 46 p. (2017; Zbl 1381.83003) Full Text: DOI
Deninger, Cristopher; Oh, Young-Tak The universal deformation of the Witt ring scheme. (English. Russian original) Zbl 1388.13045 Sb. Math. 208, No. 6, 764-790 (2017); translation from Mat. Sb. 208, No. 6, 26-54 (2017). Reviewer: Alan Koch (Decatur) MSC: 13F35 14L15 PDF BibTeX XML Cite \textit{C. Deninger} and \textit{Y.-T. Oh}, Sb. Math. 208, No. 6, 764--790 (2017; Zbl 1388.13045); translation from Mat. Sb. 208, No. 6, 26--54 (2017) Full Text: DOI
Bai, Ruipu; Lin, Lixin; Zhang, Yan; Kang, Chuangchuang \(q\)-deformations of 3-Lie algebras. (English) Zbl 1428.17001 Algebra Colloq. 24, No. 3, 519-540 (2017). MSC: 17A42 17A30 17A40 PDF BibTeX XML Cite \textit{R. Bai} et al., Algebra Colloq. 24, No. 3, 519--540 (2017; Zbl 1428.17001) Full Text: DOI
Livine, Etera R. 3d quantum gravity: coarse-graining and \(q\)-deformation. (English) Zbl 1366.83023 Ann. Henri Poincaré 18, No. 4, 1465-1491 (2017). MSC: 83C45 81R50 83C80 83C27 83C05 PDF BibTeX XML Cite \textit{E. R. Livine}, Ann. Henri Poincaré 18, No. 4, 1465--1491 (2017; Zbl 1366.83023) Full Text: DOI arXiv
Hatami, N.; Setare, M. R. The \(\mathrm q\)-deformed Dirac oscillator in \(2+1\) dimensions. (English) Zbl 1360.81203 Phys. Lett., A 380, No. 42, 3469-3472 (2016). MSC: 81R15 81V70 PDF BibTeX XML Cite \textit{N. Hatami} and \textit{M. R. Setare}, Phys. Lett., A 380, No. 42, 3469--3472 (2016; Zbl 1360.81203) Full Text: DOI
Batouli, J.; El Baz, M.; Maaouni, A. Optical properties of the superposition of \(q\)-deformed coherent states. (English) Zbl 1351.81060 Mod. Phys. Lett. A 31, No. 34, Article ID 1650190, 11 p. (2016). MSC: 81R30 81S30 PDF BibTeX XML Cite \textit{J. Batouli} et al., Mod. Phys. Lett. A 31, No. 34, Article ID 1650190, 11 p. (2016; Zbl 1351.81060) Full Text: DOI
Elchinger, Olivier; Lundengård, Karl; Makhlouf, Abdenacer; Silvestrov, Sergei D. Brackets with \((\tau,\sigma)\)-derivations and \((p,q)\)-deformations of Witt and Virasoro algebras. (English) Zbl 1404.17034 Forum Math. 28, No. 4, 657-673 (2016). MSC: 17B60 17B40 17A30 17A36 17B68 PDF BibTeX XML Cite \textit{O. Elchinger} et al., Forum Math. 28, No. 4, 657--673 (2016; Zbl 1404.17034) Full Text: DOI arXiv
Mansour, Toufik; Schork, Matthias Commutation relations, normal ordering, and Stirling numbers. (English) Zbl 1335.05001 Discrete Mathematics and its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4665-7988-0/hbk; 978-1-4665-7989-7/ebook). xxiii, 504 p. (2016). Reviewer: László A. Székely (Columbia) MSC: 05-02 05A10 05A15 05A30 11B73 16Sxx 17Bxx 33Dxx 81R15 PDF BibTeX XML Cite \textit{T. Mansour} and \textit{M. Schork}, Commutation relations, normal ordering, and Stirling numbers. Boca Raton, FL: CRC Press (2016; Zbl 1335.05001) Full Text: DOI
Tourigny, David S. Two-component feedback loops and deformed mechanics. (English) Zbl 1366.70021 Phys. Lett., A 379, No. 4, 342-347 (2015). MSC: 70H05 37J05 70G45 PDF BibTeX XML Cite \textit{D. S. Tourigny}, Phys. Lett., A 379, No. 4, 342--347 (2015; Zbl 1366.70021) Full Text: DOI
Batouli, J.; El Baz, M.; Maaouni, A. RLC circuit realization of a q-deformed harmonic oscillator with time dependent mass. (English) Zbl 1323.81043 Phys. Lett., A 379, No. 28-29, 1619-1626 (2015). MSC: 81R30 34C15 94C99 PDF BibTeX XML Cite \textit{J. Batouli} et al., Phys. Lett., A 379, No. 28--29, 1619--1626 (2015; Zbl 1323.81043) Full Text: DOI
Mansour, Toufik; Schork, Matthias On \(q\)-deformed generalized Touchard polynomials. (English) Zbl 1339.11034 Indag. Math., New Ser. 26, No. 4, 634-645 (2015). MSC: 11B73 11B65 PDF BibTeX XML Cite \textit{T. Mansour} and \textit{M. Schork}, Indag. Math., New Ser. 26, No. 4, 634--645 (2015; Zbl 1339.11034) Full Text: DOI
Kameyama, Takashi; Yoshida, Kentaroh Minimal surfaces in \(q\)-deformed \(\mathrm{AdS}_{5}\times \mathrm{S}^{5}\) with Poincaré coordinates. (English) Zbl 1318.81040 J. Phys. A, Math. Theor. 48, No. 24, Article ID 245401, 16 p. (2015). MSC: 81R50 81T30 83E30 81T40 81T08 17B37 PDF BibTeX XML Cite \textit{T. Kameyama} and \textit{K. Yoshida}, J. Phys. A, Math. Theor. 48, No. 24, Article ID 245401, 16 p. (2015; Zbl 1318.81040) Full Text: DOI arXiv
Neshveyev, Sergey; Yamashita, Makoto Twisting the \(q\)-deformations of compact semisimple Lie groups. (English) Zbl 1333.46059 J. Math. Soc. Japan 67, No. 2, 637-662 (2015). MSC: 46L65 17B37 18D10 PDF BibTeX XML Cite \textit{S. Neshveyev} and \textit{M. Yamashita}, J. Math. Soc. Japan 67, No. 2, 637--662 (2015; Zbl 1333.46059) Full Text: DOI Euclid arXiv
De Commer, Kenny; Koelink, Erik A \(q\)-Hankel transform associated to the quantum linking groupoid for the quantum \(\mathrm{SU}(2)\) and \(\mathrm{E}(2)\) groups. (English) Zbl 1326.33025 Proc. Am. Math. Soc. 143, No. 6, 2515-2526 (2015). Reviewer: S. Moskaliuk (Kyiv) MSC: 33D80 33D45 46L65 81R50 PDF BibTeX XML Cite \textit{K. De Commer} and \textit{E. Koelink}, Proc. Am. Math. Soc. 143, No. 6, 2515--2526 (2015; Zbl 1326.33025) Full Text: DOI arXiv
Kameyama, Takashi; Yoshida, Kentaroh A new coordinate system for \(q\)-deformed \(\mathrm{AdS}_{5}\times S^{5}\) and classical string solutions. (English) Zbl 1326.81159 J. Phys. A, Math. Theor. 48, No. 7, Article ID 075401, 37 p. (2015). Reviewer: S. Moskaliuk (Kyiv) MSC: 81T30 81R50 17B37 PDF BibTeX XML Cite \textit{T. Kameyama} and \textit{K. Yoshida}, J. Phys. A, Math. Theor. 48, No. 7, Article ID 075401, 37 p. (2015; Zbl 1326.81159) Full Text: DOI arXiv
Tristant, Damien; Brito, Francisco A. Some electronic properties of metals through \(q\)-deformed algebras. (English) Zbl 1395.82253 Physica A 407, 276-286 (2014). MSC: 82D35 82D25 17B37 PDF BibTeX XML Cite \textit{D. Tristant} and \textit{F. A. Brito}, Physica A 407, 276--286 (2014; Zbl 1395.82253) Full Text: DOI
Okounkov, Andrei Hilbert schemes and multiple \(q\)-zeta values. (English. Russian original) Zbl 1327.14026 Funct. Anal. Appl. 48, No. 2, 138-144 (2014); translation from Funkts. Anal Prilozh. 48, No. 2, 79-87 (2014). MSC: 14C05 11B65 14N10 11M32 PDF BibTeX XML Cite \textit{A. Okounkov}, Funct. Anal. Appl. 48, No. 2, 138--144 (2014; Zbl 1327.14026); translation from Funkts. Anal Prilozh. 48, No. 2, 79--87 (2014) Full Text: DOI arXiv
Di Francesco, Philippe; Kedem, Rinat Quantum cluster algebras and fusion products. (English) Zbl 1370.17008 Int. Math. Res. Not. 2014, No. 10, 2593-2642 (2014). MSC: 17B10 13F60 17B37 PDF BibTeX XML Cite \textit{P. Di Francesco} and \textit{R. Kedem}, Int. Math. Res. Not. 2014, No. 10, 2593--2642 (2014; Zbl 1370.17008) Full Text: DOI arXiv
Petrov, Leonid The boundary of the Gelfand-Tsetlin graph: new proof of Borodin-Olshanski’s formula, and its \(q\)-analogue. (English) Zbl 1297.05249 Mosc. Math. J. 14, No. 1, 121-160 (2014). MSC: 05E10 05E05 05C99 22E66 31C35 46L65 PDF BibTeX XML Cite \textit{L. Petrov}, Mosc. Math. J. 14, No. 1, 121--160 (2014; Zbl 1297.05249) Full Text: Link arXiv
Chung, Won Sang; Gavrilik, A. M.; Kachurik, I. I.; Rebesh, A. P. The symmetric Tamm-Dancoff \(q\)-oscillator: the representation, quasi-Fibonacci nature, accidental degeneracy and coherent states. (English) Zbl 1391.81028 J. Phys. A, Math. Theor. 47, No. 30, Article ID 305304, 14 p. (2014). MSC: 81P40 81R12 81R30 PDF BibTeX XML Cite \textit{W. S. Chung} et al., J. Phys. A, Math. Theor. 47, No. 30, Article ID 305304, 14 p. (2014; Zbl 1391.81028) Full Text: DOI arXiv
Dai, Wu-Sheng; Xie, Mi Calculating statistical distributions from operator relations: The statistical distributions of various intermediate statistics. (English) Zbl 1342.82010 Ann. Phys. 332, 166-179 (2013). MSC: 82B10 62P35 81S99 PDF BibTeX XML Cite \textit{W.-S. Dai} and \textit{M. Xie}, Ann. Phys. 332, 166--179 (2013; Zbl 1342.82010) Full Text: DOI
Shrimali, Manish Dev; Banerjee, Subhashish Delayed q-deformed logistic map. (English) Zbl 1329.37041 Commun. Nonlinear Sci. Numer. Simul. 18, No. 11, 3126-3133 (2013). MSC: 37E05 37G10 37D45 PDF BibTeX XML Cite \textit{M. D. Shrimali} and \textit{S. Banerjee}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 11, 3126--3133 (2013; Zbl 1329.37041) Full Text: DOI
Hounkonnou, M. N.; Samary, D. Ousmane; Baloïtcha, E.; Arjika, S. \(\theta(\hat{x},\hat{p})\)-deformation of the harmonic oscillator in a 2D-phase space. (English) Zbl 1307.81035 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 29-37 (2013). MSC: 81Q05 81S30 81Q10 81R50 17B37 22E70 33C45 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} et al., in: Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24--30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer. 29--37 (2013; Zbl 1307.81035) Full Text: DOI arXiv
Hounkonnou, Mahouton Norbert; Kyemba, Jospeh Désiré Bukweli \({\mathcal R}(p,q)\)-calculus: differentiation and integration. (English) Zbl 1376.81040 SUT J. Math. 49, No. 2, 145-167 (2013). MSC: 81R50 33D80 58C20 PDF BibTeX XML Cite \textit{M. N. Hounkonnou} and \textit{J. D. B. Kyemba}, SUT J. Math. 49, No. 2, 145--167 (2013; Zbl 1376.81040) Full Text: Link
Neshveyev, Sergey; Tuset, Lars Compact quantum groups and their representation categories. (English) Zbl 1316.46003 Cours Spécialisés (Paris) 20. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-777-3/hbk). iv, 169 p. (2013). Reviewer: Jörg Feldvoss (Mobile) MSC: 46-02 46L65 46L89 22E46 16T20 17B37 20G42 18D99 PDF BibTeX XML Cite \textit{S. Neshveyev} and \textit{L. Tuset}, Compact quantum groups and their representation categories. Paris: Société Mathématique de France (SMF) (2013; Zbl 1316.46003)
Gherardi, Marco; Nigro, Alessandro \(q\)-deformed Loewner evolution. (English) Zbl 1276.82015 J. Stat. Phys. 152, No. 3, 452-472 (2013). MSC: 82B24 05A30 60J67 82-08 PDF BibTeX XML Cite \textit{M. Gherardi} and \textit{A. Nigro}, J. Stat. Phys. 152, No. 3, 452--472 (2013; Zbl 1276.82015) Full Text: DOI
Cheng, Yongsheng; Su, Yucai Quantum deformations of the Heisenberg-Virasoro algebra. (English) Zbl 1310.17007 Algebra Colloq. 20, No. 2, 299-308 (2013). MSC: 17B37 17B68 17B56 16T05 PDF BibTeX XML Cite \textit{Y. Cheng} and \textit{Y. Su}, Algebra Colloq. 20, No. 2, 299--308 (2013; Zbl 1310.17007) Full Text: DOI
Gazeau, J. P.; del Olmo, M. A. Pisot \(q\)-coherent states quantization of the harmonic oscillator. (English) Zbl 1266.81111 Ann. Phys. 330, 220-245 (2013). MSC: 81R50 81R30 81S05 17B37 PDF BibTeX XML Cite \textit{J. P. Gazeau} and \textit{M. A. del Olmo}, Ann. Phys. 330, 220--245 (2013; Zbl 1266.81111) Full Text: DOI arXiv
Yuan, Lamei \(q\)-deformation of \(W(2, 2)\) Lie algebra associated with quantum groups. (English) Zbl 1259.17017 Acta Math. Sin., Engl. Ser. 28, No. 11, 2213-2226 (2012). MSC: 17B37 PDF BibTeX XML Cite \textit{L. Yuan}, Acta Math. Sin., Engl. Ser. 28, No. 11, 2213--2226 (2012; Zbl 1259.17017) Full Text: DOI arXiv
Kim, Henry H.; Lee, Kyu-Hwan Quantum affine algebras, canonical bases, and \(q\)-deformation of arithmetical functions. (English) Zbl 1282.17016 Pac. J. Math. 255, No. 2, 393-415 (2012). MSC: 17B37 05E10 PDF BibTeX XML Cite \textit{H. H. Kim} and \textit{K.-H. Lee}, Pac. J. Math. 255, No. 2, 393--415 (2012; Zbl 1282.17016) Full Text: DOI Link arXiv
Kaad, Jens; Senior, Roger A twisted spectral triple for quantum \(SU(2)\). (English) Zbl 1245.58004 J. Geom. Phys. 62, No. 4, 731-739 (2012). Reviewer: Albert Sheu (Lawrence) MSC: 58B32 58B34 33D80 19D55 81R50 PDF BibTeX XML Cite \textit{J. Kaad} and \textit{R. Senior}, J. Geom. Phys. 62, No. 4, 731--739 (2012; Zbl 1245.58004) Full Text: DOI arXiv
Patidar, Vinod; Purohit, G.; Sud, K. K. Dynamical behavior of \(q\)-deformed Hénon map. (English) Zbl 1248.37073 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1349-1356 (2011). MSC: 37M99 37E30 37D45 PDF BibTeX XML Cite \textit{V. Patidar} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1349--1356 (2011; Zbl 1248.37073) Full Text: DOI
Neshveyev, Sergey; Tuset, Lars K-homology class of the Dirac operator on a compact quantum group. (English) Zbl 1236.58016 Doc. Math. 16, 767-780 (2011). Reviewer: Albert Sheu (Lawrence) MSC: 58B32 58B34 46L80 PDF BibTeX XML Cite \textit{S. Neshveyev} and \textit{L. Tuset}, Doc. Math. 16, 767--780 (2011; Zbl 1236.58016) Full Text: EMIS arXiv
Patidar, Vinod; Purohit, G.; Sud, K. K. A numerical exploration of the dynamical behaviour of \(q\)-deformed nonlinear maps. (English) Zbl 1262.37036 Skiadas, Christos H. (ed.) et al., Chaotic systems. Theory and applications. Selected papers from the 2nd chaotic modeling and simulation international conference (CHAOS2009), Chania, Crete, Greece, June 1–5, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4299-71-8/hbk; 978-981-4299-72-5/ebook). 257-267 (2010). MSC: 37N20 37D45 PDF BibTeX XML Cite \textit{V. Patidar} et al., in: Chaotic systems. Theory and applications. Selected papers from the 2nd chaotic modeling and simulation international conference (CHAOS2009), Chania, Crete, Greece, June 1--5, 2009. Hackensack, NJ: World Scientific. 257--267 (2010; Zbl 1262.37036) Full Text: DOI
Li, Peiyan Renormalization moments of \(q\)-deformed Lévy-Meixner processes. (English) Zbl 1240.60131 J. Math., Wuhan Univ. 30, No. 1, 35-40 (2010). MSC: 60G51 PDF BibTeX XML Cite \textit{P. Li}, J. Math., Wuhan Univ. 30, No. 1, 35--40 (2010; Zbl 1240.60131)
Cai, Shukuan; Su, Guozhen; Chen, Jincan General thermostatistical properties of a \(Q\)-deformed Fermi gas trapped in a power-law potential. (English) Zbl 1203.82042 Int. J. Mod. Phys. B 24, No. 17, 3323-3330 (2010). MSC: 82B30 81R50 82B10 PDF BibTeX XML Cite \textit{S. Cai} et al., Int. J. Mod. Phys. B 24, No. 17, 3323--3330 (2010; Zbl 1203.82042) Full Text: DOI
Tangara, Fana A \(p\)-adic \(q\)-deformation of the Weyl algebra, for \(q\) a \(p^N\)-th root of unity. (English) Zbl 1244.47066 Berz, Martin (ed.) et al., Advances in \(p\)-adic and non-Archimedean analysis. Tenth international conference, Michigan State University, East Lansing, MI, USA, June 30–July 3, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4740-4/pbk). Contemporary Mathematics 508, 253-269 (2010). Reviewer: Cristina Pérez-García (Santander) MSC: 47S10 47B37 81R15 PDF BibTeX XML Cite \textit{F. Tangara}, Contemp. Math. 508, 253--269 (2010; Zbl 1244.47066)
Coulembier, K.; Sommen, F. \(q\)-deformed harmonic and Clifford analysis and the \(q\)-Hermite and Laguerre polynomials. (English) Zbl 1193.81054 J. Phys. A, Math. Theor. 43, No. 11, Article ID 115202, 28 p. (2010). Reviewer: Ye Jiachen (Shanghai) MSC: 81R50 81R15 81Q05 81Q10 33C45 33D45 33D50 17B37 15A66 PDF BibTeX XML Cite \textit{K. Coulembier} and \textit{F. Sommen}, J. Phys. A, Math. Theor. 43, No. 11, Article ID 115202, 28 p. (2010; Zbl 1193.81054) Full Text: DOI arXiv
Schmidt, Alexander Towards a \(q\)-deformed supersymmetric field theory. (English) Zbl 1159.81381 Fauser, Bertfried (ed.) et al., Quantum field theory. Competitive models. Papers based on the presentations at the workshop on “Recent developments in quantum field theory”, Leipzig, Germany, July 20–22, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8735-8/hbk). 285-302 (2009). MSC: 81R50 16W30 17B37 81T60 PDF BibTeX XML Cite \textit{A. Schmidt}, in: Quantum field theory. Competitive models. Papers based on the presentations at the workshop on ``Recent developments in quantum field theory'', Leipzig, Germany, July 20--22, 2007. Basel: Birkhäuser. 285--302 (2009; Zbl 1159.81381)
Wachter, Hartmut Towards a \(q\)-deformed quantum field theory. (English) Zbl 1184.81084 Fauser, Bertfried (ed.) et al., Quantum field theory. Competitive models. Papers based on the presentations at the workshop on “Recent developments in quantum field theory”, Leipzig, Germany, July 20–22, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8735-8/hbk). 261-283 (2009). Reviewer: Akira Yoshioka (Tokyo) MSC: 81R50 16T05 17B37 PDF BibTeX XML Cite \textit{H. Wachter}, in: Quantum field theory. Competitive models. Papers based on the presentations at the workshop on ``Recent developments in quantum field theory'', Leipzig, Germany, July 20--22, 2007. Basel: Birkhäuser. 261--283 (2009; Zbl 1184.81084)
Huang, Zhi Yuan; Li, Pei Yan; Wu, Ying Explicit forms of \(q\) -deformed Lévy-Meixner polynomials and their generating functions. (English) Zbl 1149.05008 Acta Math. Sin., Engl. Ser. 24, No. 2, 201-214 (2008). MSC: 05A30 33C45 46L54 PDF BibTeX XML Cite \textit{Z. Y. Huang} et al., Acta Math. Sin., Engl. Ser. 24, No. 2, 201--214 (2008; Zbl 1149.05008) Full Text: DOI
Saidi, El Hassan Topological \(\text{SL}(2)\) gauge theory on conifold. (English) Zbl 1197.81169 Afr. J. Math. Phys. 5, No. 1, 57-77, Article No. 0718 (2007). MSC: 81T45 81T13 81V70 14J32 PDF BibTeX XML Cite \textit{E. H. Saidi}, Afr. J. Math. Phys. 5, No. 1, 57--77, Article No. 0718 (2007; Zbl 1197.81169) Full Text: Link
Yamaleev, Robert M. Geometrical interpretation of general complex algebra and its application in relativistic mechanics. (English) Zbl 1116.83006 Adv. Appl. Clifford Algebr. 17, No. 2, 281-305 (2007). MSC: 83C10 83E05 PDF BibTeX XML Cite \textit{R. M. Yamaleev}, Adv. Appl. Clifford Algebr. 17, No. 2, 281--305 (2007; Zbl 1116.83006) Full Text: DOI
Wachter, Hartmut Analysis on \(q\)-deformed quantum spaces. (English) Zbl 1113.81079 Int. J. Mod. Phys. A 22, No. 1, 95-164 (2007). Reviewer: Jan Grabowski (Oxford) MSC: 81R50 16W30 81S05 PDF BibTeX XML Cite \textit{H. Wachter}, Int. J. Mod. Phys. A 22, No. 1, 95--164 (2007; Zbl 1113.81079) Full Text: DOI arXiv
Eremin, V. V.; Meldianov, A. A. The \(q\)-deformed harmonic oscillator, coherent states, and the uncertainty relation. (English) Zbl 1177.81073 Theor. Math. Phys. 147, No. 2, 709-715 (2006); translation from Teor. Mat. Fiz. 147, No. 2, 315-322 (2006). MSC: 81S05 81R30 PDF BibTeX XML Cite \textit{V. V. Eremin} and \textit{A. A. Meldianov}, Theor. Math. Phys. 147, No. 2, 709--715 (2006; Zbl 1177.81073); translation from Teor. Mat. Fiz. 147, No. 2, 315--322 (2006) Full Text: DOI arXiv
Odzijewicz, Anatol Coherent state map and deformations of Moyal product. (English) Zbl 1133.81035 García-Compeán, Hugo (ed.) et al., Topics in mathematical physics, general relativity and cosmology in honor of Jerzy Plebański. Proceedings of the 2002 international conference, Cinvestay, Mexico City, Mexico, September 17–20, 2002. Hackensack, NJ: World Scientific (ISBN 981-270-047-1/hbk). 347-359 (2006). Reviewer: Monika Winklmeier (Bern) MSC: 81R50 81R30 33D90 PDF BibTeX XML Cite \textit{A. Odzijewicz}, in: Topics in mathematical physics, general relativity and cosmology in honor of Jerzy Plebański. Proceedings of the 2002 international conference, Cinvestay, Mexico City, Mexico, September 17--20, 2002. Hackensack, NJ: World Scientific. 347--359 (2006; Zbl 1133.81035)
Schmidt, Alexander; Wachter, Hartmut \(q\)-deformed quantum Lie algebras. (English) Zbl 1101.58007 J. Geom. Phys. 56, No. 11, 2289-2325 (2006). MSC: 58B32 81R50 17B37 20G42 PDF BibTeX XML Cite \textit{A. Schmidt} and \textit{H. Wachter}, J. Geom. Phys. 56, No. 11, 2289--2325 (2006; Zbl 1101.58007) Full Text: DOI arXiv
He, Jingsong; Li, Yinghua; Cheng, Yi \(q\)-deformed KP hierarchy and \(q\)-deformed constrained KP hierarchy. (English) Zbl 1093.37027 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 060, 32 p. (2006). MSC: 37K10 35Q51 35Q53 35Q55 PDF BibTeX XML Cite \textit{J. He} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 060, 32 p. (2006; Zbl 1093.37027) Full Text: DOI EMIS EuDML arXiv
Toyoda, Haruki; Naka, Shigefumi \(q\)-deformed bi-local fields. II. (English) Zbl 1103.81023 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 031, 11 p. (2006). MSC: 81R50 81R60 17B37 16W30 35Q55 81V55 PDF BibTeX XML Cite \textit{H. Toyoda} and \textit{S. Naka}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 031, 11 p. (2006; Zbl 1103.81023) Full Text: DOI EMIS EuDML arXiv
Jaganathan, Ramaswamy; Sinha, Sudeshna A \(q\)-deformed nonlinear map. (English) Zbl 1136.82304 Phys. Lett., A 338, No. 3-5, 277-287 (2005). MSC: 82B03 37N20 81R50 PDF BibTeX XML Cite \textit{R. Jaganathan} and \textit{S. Sinha}, Phys. Lett., A 338, No. 3--5, 277--287 (2005; Zbl 1136.82304) Full Text: DOI
Zhang, Xin Black hole evaporation based upon a \(Q\)-deformation description. (English) Zbl 1098.83570 Int. J. Mod. Phys. A 20, No. 26, 6039-6049 (2005). MSC: 83C57 83C65 81R50 PDF BibTeX XML Cite \textit{X. Zhang}, Int. J. Mod. Phys. A 20, No. 26, 6039--6049 (2005; Zbl 1098.83570) Full Text: DOI arXiv
Lu, Dao-ming Amplitude-squared squeezing of the excited odd and even \(q\)-coherent states. (Chinese. English summary) Zbl 1068.78513 J. Fuzhou Univ., Nat. Sci. 33, No. 2, 159-162 (2005). MSC: 78A60 81V80 PDF BibTeX XML Cite \textit{D.-m. Lu}, J. Fuzhou Univ., Nat. Sci. 33, No. 2, 159--162 (2005; Zbl 1068.78513)
Mesref, L. \(q\)-deformed conformal correlation functions. (English) Zbl 1070.81517 Int. J. Mod. Phys. A 20, No. 7, 1471-1479 (2005). MSC: 81R50 PDF BibTeX XML Cite \textit{L. Mesref}, Int. J. Mod. Phys. A 20, No. 7, 1471--1479 (2005; Zbl 1070.81517) Full Text: DOI arXiv
Iorgov, Nikolai On the wave functions of Ruijsenaars model. (English) Zbl 1122.81046 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1094-1100 (2004). Reviewer: S. V. Spichak (Kyïv) MSC: 81R12 17B37 33D80 PDF BibTeX XML Cite \textit{N. Iorgov}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine. 1094--1100 (2004; Zbl 1122.81046)
He, Jinsong; Li, Yinghua; Cheng, Yi \(q\)-deformed Gelfand-Dickey hierarchy and a determinant representation of its gauge transformation. (Chinese. English summary) Zbl 1053.37044 Chin. Ann. Math., Ser. A 25, No. 3, 373-382 (2004). MSC: 37K10 39A13 PDF BibTeX XML Cite \textit{J. He} et al., Chin. Ann. Math., Ser. A 25, No. 3, 373--382 (2004; Zbl 1053.37044)
Katriel, Jacob A nonlinear Bogolyubov transformation. (English) Zbl 1006.70016 Phys. Lett., A 307, No. 1, 1-7 (2003). MSC: 70H15 81S99 PDF BibTeX XML Cite \textit{J. Katriel}, Phys. Lett., A 307, No. 1, 1--7 (2003; Zbl 1006.70016) Full Text: DOI
Klimyk, A. U. On classification of irreducible representations of \(q\)-deformed algebra \(U_q'(\operatorname {so}_3)\) related to quantum gravity. (English) Zbl 1040.81043 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 407-418 (2002). Reviewer: M. O. Nesterenko (Kyïv) MSC: 81R50 17B37 17B81 81R15 PDF BibTeX XML Cite \textit{A. U. Klimyk}, in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 407--418 (2002; Zbl 1040.81043)
Kolb, Stefan Differential calculus on quantum complex Grassmann manifolds. (English) Zbl 1018.81024 Leipzig: Univ. Leipzig, Faktultät für Mathematik und Informatik, 94 p. (2002). MSC: 58B32 17B37 46L87 16T05 81R50 PDF BibTeX XML Cite \textit{S. Kolb}, Differential calculus on quantum complex Grassmann manifolds. Leipzig: Univ. Leipzig, Faktultät für Mathematik und Informatik (2002; Zbl 1018.81024) Full Text: arXiv
Enriquez, Benjamin The KZB connection: Parametrizations, flat sections and \(q\)-deformation. (English) Zbl 1030.81007 Kuznetsov, V. B. (ed.), The Kowalevski property. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 32, 41-58 (2002). Reviewer: Kailash C.Misra (Raleigh) MSC: 81R50 81R10 81T40 32G34 PDF BibTeX XML Cite \textit{B. Enriquez}, in: The Kowalevski property. Providence, RI: American Mathematical Society (AMS). 41--58 (2002; Zbl 1030.81007)
Wang, Shikun; Wu, Ke; Wu, Xiaoning; Yu, Delong The \(q\) deformation of AKNS-D hierarchy. (English) Zbl 0997.39012 J. Phys. A, Math. Gen. 34, No. 45, 9641-9651 (2001). MSC: 39A12 37K99 39A13 37K10 PDF BibTeX XML Cite \textit{S. Wang} et al., J. Phys. A, Math. Gen. 34, No. 45, 9641--9651 (2001; Zbl 0997.39012) Full Text: DOI arXiv
Felder, Giovanni; Varchenko, Alexander The \(q\)-deformed Knizhnik-Zamolodchikov-Bernard heat equation. (English) Zbl 1057.32006 Commun. Math. Phys. 221, No. 3, 549-571 (2001). MSC: 32G34 39A13 81T40 PDF BibTeX XML Cite \textit{G. Felder} and \textit{A. Varchenko}, Commun. Math. Phys. 221, No. 3, 549--571 (2001; Zbl 1057.32006) Full Text: DOI arXiv
Osland, P.; Zhang, Jianzu Critical phenomenon of a consistent \(q\)-deformed squeezed state. (English) Zbl 1011.81025 Ann. Phys. 290, No. 1, 45-52 (2001). Reviewer: Changchang Xi (Beijing) MSC: 81R50 81R30 17B37 PDF BibTeX XML Cite \textit{P. Osland} and \textit{J. Zhang}, Ann. Phys. 290, No. 1, 45--52 (2001; Zbl 1011.81025) Full Text: DOI arXiv
Turbiner, Alexander Canonical discretization. I: Discrete faces of (an)harmonic oscillators. (English) Zbl 0984.81064 Int. J. Mod. Phys. A 16, No. 9, 1579-1603 (2001). MSC: 81R50 PDF BibTeX XML Cite \textit{A. Turbiner}, Int. J. Mod. Phys. A 16, No. 9, 1579--1603 (2001; Zbl 0984.81064) Full Text: DOI arXiv
Hellström, Lars Algebraic dependence of commuting differential operators. (English) Zbl 0988.17009 Discrete Math. 231, No. 1-3, 247-252 (2001). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 16U70 81R50 PDF BibTeX XML Cite \textit{L. Hellström}, Discrete Math. 231, No. 1--3, 247--252 (2001; Zbl 0988.17009) Full Text: DOI
Zou, Yi Ming Crystal bases for \(U_{q}(\Gamma(\sigma_{1},\sigma_{2},\sigma_{3}))\). (English) Zbl 0999.17027 Trans. Am. Math. Soc. 353, No. 9, 3789-3802 (2001). Reviewer: Li Fang (Hangzhou) MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{Y. M. Zou}, Trans. Am. Math. Soc. 353, No. 9, 3789--3802 (2001; Zbl 0999.17027) Full Text: DOI
McDermott, Roger; Parashar, Deepak Inhomogeneous multiparameter Jordanian quantum groups by contraction. (English) Zbl 0981.17008 Czech. J. Phys. 50, No. 1, 145-150 (2000). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{R. McDermott} and \textit{D. Parashar}, Czech. J. Phys. 50, No. 1, 145--150 (2000; Zbl 0981.17008) Full Text: DOI arXiv
Irac-Astaud, M.; Quesne, C. \(\text{su}_q(2)\)-invariant harmonic oscillator. (English) Zbl 0981.81037 Czech. J. Phys. 50, No. 1, 91-96 (2000). MSC: 81R50 81R20 35Q55 PDF BibTeX XML Cite \textit{M. Irac-Astaud} and \textit{C. Quesne}, Czech. J. Phys. 50, No. 1, 91--96 (2000; Zbl 0981.81037) Full Text: DOI arXiv
Iorgov, N. Z.; Klimyk, A. U. Nonclassical type representations of the \(q\)-deformed algebra \(U_q'(\text{so}_n)\). (English) Zbl 0979.17006 Czech. J. Phys. 50, No. 1, 85-90 (2000). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{N. Z. Iorgov} and \textit{A. U. Klimyk}, Czech. J. Phys. 50, No. 1, 85--90 (2000; Zbl 0979.17006) Full Text: DOI arXiv
Iorgov, N. Z.; Klimyk, A. U. The nonstandard deformation \(U_q'(so_n)\) for \(q\) a root of unity. (English) Zbl 0980.17009 Methods Funct. Anal. Topol. 6, No. 3, 56-71 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{N. Z. Iorgov} and \textit{A. U. Klimyk}, Methods Funct. Anal. Topol. 6, No. 3, 56--71 (2000; Zbl 0980.17009)
Zhang, Hong-Biao; Ge, Mo-Lin; Xue, Kang Local U(1) symmetry in \(Y\)(SO(5)) associated with the massless Thirring model and its Bethe ansatz. (English) Zbl 1008.81050 J. Phys. A, Math. Gen. 33, No. 37, L345-L352 (2000). MSC: 81T10 81R50 82D55 PDF BibTeX XML Cite \textit{H.-B. Zhang} et al., J. Phys. A, Math. Gen. 33, No. 37, L345--L352 (2000; Zbl 1008.81050) Full Text: DOI arXiv
Schraml, S.; Wess, J. Realization of the three-dimensional quantum Euclidean space by differential operators. (English) Zbl 1049.81541 Eur. Phys. J., C 17, No. 2, 353-358 (2000). MSC: 81R50 17B37 58B32 PDF BibTeX XML Cite \textit{S. Schraml} and \textit{J. Wess}, Eur. Phys. J. C, Part. Fields 17, No. 2, 353--358 (2000; Zbl 1049.81541) Full Text: DOI arXiv
Abłamowicz, Rafał; Fauser, Bertfried Hecke algebra representations in ideals generated by \(q\)-Young Clifford idempotents. (English) Zbl 0956.15014 Abłamowicz, Rafał (ed.) et al., Clifford algebras and their applications in mathematical physics. Proceedings of the 5th conference, Ixtapa-Zihuatanejo, Mexico, June 27-July 4, 1999. Volume 1: Algebra and physics. Boston, MA: Birkhäuser. Prog. Phys. 18, 245-268 (2000). MSC: 15A66 17B37 20C30 81R25 PDF BibTeX XML Cite \textit{R. Abłamowicz} and \textit{B. Fauser}, Prog. Phys. 18, 245--268 (2000; Zbl 0956.15014)
Takebayashi, Tadayoshi \(q\)-deformation of the group algebra \(k[\widehat W]\) associated to the elliptic root system \(A_l^{(1,1)}\) (\(l\geq 2\)). (English) Zbl 0957.20030 Proc. Japan Acad., Ser. A 76, No. 3, 35-38 (2000). MSC: 20G42 17B37 20F55 PDF BibTeX XML Cite \textit{T. Takebayashi}, Proc. Japan Acad., Ser. A 76, No. 3, 35--38 (2000; Zbl 0957.20030) Full Text: DOI
Ouarab, A. Fractional supersymmetric model on the \(M\mathbb{C}_n\) spaces. (English) Zbl 0963.15033 Adv. Appl. Clifford Algebr. 9, No. 2, 201-214 (1999). Reviewer: B.Fauser (Tübingen) MSC: 15A66 15A90 17A42 81R05 81T60 PDF BibTeX XML Cite \textit{A. Ouarab}, Adv. Appl. Clifford Algebr. 9, No. 2, 201--214 (1999; Zbl 0963.15033) Full Text: DOI
Leitenberger, Frank A quantum deformation of invariants of higher binary forms. (English) Zbl 0981.17014 J. Algebra 222, No. 1, 82-128 (1999). Reviewer: B.Fauser (Tübingen) MSC: 17B37 16W22 33D80 PDF BibTeX XML Cite \textit{F. Leitenberger}, J. Algebra 222, No. 1, 82--128 (1999; Zbl 0981.17014) Full Text: DOI arXiv
Finkelstein, R. J. Observable properties of \(q\)-deformed physical systems. (English) Zbl 0986.81043 Lett. Math. Phys. 49, No. 2, 105-114 (1999); Errata ibid. 49, No. 2, 243 (1999). MSC: 81R50 81S05 81P99 81T10 PDF BibTeX XML Cite \textit{R. J. Finkelstein}, Lett. Math. Phys. 49, No. 2, 105--114, Errata 49, No. 2, 243 (1999; Zbl 0986.81043) Full Text: DOI
Avan, J.; Frappat, L.; Rossi, M.; Sorba, P. Universal construction of \({\mathcal W}_{q,p}\) algebras. (English) Zbl 0944.17007 Commun. Math. Phys. 202, No. 2, 445-461 (1999). Reviewer: Volodymyr Mazorchuk (Kyïv) MSC: 17B37 81R50 81R10 PDF BibTeX XML Cite \textit{J. Avan} et al., Commun. Math. Phys. 202, No. 2, 445--461 (1999; Zbl 0944.17007) Full Text: DOI arXiv
Dobrev, V. K.; Kostadinov, B. S.; Petrov, S. T. Solutions of \(q\)-deformed equations with quantum conformal symmetry. (English) Zbl 0972.81067 Rembieliński, Jakub (ed.), Particles, fields, and gravitation. Papers from the conference dedicated to the memory of Ryszard Raczka, Łódz, Poland, April 15-19, 1998. Woodbury, NY: American Institute of Physics. AIP Conf. Proc. 453, 24-38 (1998). MSC: 81R50 39A13 81Q05 81T40 PDF BibTeX XML Cite \textit{V. K. Dobrev} et al., AIP Conf. Proc. 453, 24--38 (1998; Zbl 0972.81067)
Twarock, Reidun \(q\)-derivatives, quantization methods and \(q\)-algebras. (English) Zbl 0976.39013 Rembieliński, Jakub (ed.), Particles, fields, and gravitation. Papers from the conference dedicated to the memory of Ryszard Raczka, Łódz, Poland, April 15-19, 1998. Woodbury, NY: American Institute of Physics. AIP Conf. Proc. 453, 146-154 (1998). MSC: 39A13 81R50 81S10 PDF BibTeX XML Cite \textit{R. Twarock}, AIP Conf. Proc. 453, 146--154 (1998; Zbl 0976.39013)
Kryukov, S. V. An analogue of the quantum Drinfeld-Sokolov Hamiltonian reduction from deformed algebras. The \(U_q(\widehat {sl}_2)\) case. (English. Russian original) Zbl 0957.17018 Theor. Math. Phys. 114, No. 3, 266-275 (1998); translation from Teor. Mat. Fiz. 114, No. 3, 337-348 (1998). MSC: 17B37 81R50 81T70 37J15 PDF BibTeX XML Cite \textit{S. V. Kryukov}, Theor. Math. Phys. 114, No. 3, 266--275 (1998; Zbl 0957.17018); translation from Teor. Mat. Fiz. 114, No. 3, 337--348 (1998) Full Text: DOI
Chung, W.-S. \(q\)-Laguerre polynomial realization of \(\mathfrak{gl}_{\sqrt{q}}(N)\)-covariant oscillator algebra. (English) Zbl 0934.33027 Int. J. Theor. Phys. 37, No. 12, 2975-2978 (1998). Reviewer: G.Zet (Iaşi) MSC: 33D80 81R12 81R50 81S05 PDF BibTeX XML Cite \textit{W. S. Chung}, Int. J. Theor. Phys. 37, No. 12, 2975--2978 (1998; Zbl 0934.33027) Full Text: DOI
El Kinani, E. H.; Ouarab, A. Moyal quantization of \(\text{sdiff}(T^{2k/N})\), \(q\)-deformation, and \(q\)-Moyal bracket. (English) Zbl 0989.37077 Int. J. Theor. Phys. 37, No. 3, 1011-1017 (1998). MSC: 37N20 81S10 PDF BibTeX XML Cite \textit{E. H. El Kinani} and \textit{A. Ouarab}, Int. J. Theor. Phys. 37, No. 3, 1011--1017 (1998; Zbl 0989.37077) Full Text: DOI
Martin, Paul P.; Woodcock, David On quantum spin-chain spectra and the structure of Hecke algebras and \(q\)-groups at roots of unity. (English) Zbl 0953.82014 J. Phys. A, Math. Gen. 31, No. 50, 10131-10154 (1998). MSC: 82B20 81R20 17B37 PDF BibTeX XML Cite \textit{P. P. Martin} and \textit{D. Woodcock}, J. Phys. A, Math. Gen. 31, No. 50, 10131--10154 (1998; Zbl 0953.82014) Full Text: DOI
Berg, Christian On some indeterminate moment problems for measures on a geometric progression. (English) Zbl 0929.44004 J. Comput. Appl. Math. 99, No. 1-2, 67-75 (1998). Reviewer: Semen B.Yakubovich (Eindhoven) MSC: 44A60 33D45 PDF BibTeX XML Cite \textit{C. Berg}, J. Comput. Appl. Math. 99, No. 1--2, 67--75 (1998; Zbl 0929.44004) Full Text: DOI
Zou, Yi Ming Integrable representations of \(U_q(\text{osp}(1,2n))\). (English) Zbl 0930.17011 J. Pure Appl. Algebra 130, No. 1, 99-112 (1998). Reviewer: J.Van der Jeugt (Gent) MSC: 17B37 17A70 PDF BibTeX XML Cite \textit{Y. M. Zou}, J. Pure Appl. Algebra 130, No. 1, 99--112 (1998; Zbl 0930.17011) Full Text: DOI
Kogan, Alexander Deformations of the classical \(W\)-algebras associated to \(D_n\), \(E_6\) and \(G_2\). (English) Zbl 0934.17009 Lett. Math. Phys. 45, No. 1, 21-31 (1998). Reviewer: Volodymyr Mazorchuk (Kyïv) MSC: 17B37 81R10 81R50 17B68 PDF BibTeX XML Cite \textit{A. Kogan}, Lett. Math. Phys. 45, No. 1, 21--31 (1998; Zbl 0934.17009) Full Text: DOI arXiv
Leclerc, Bernard; Zelevinsky, Andrei Quasicommuting families of quantum Plücker coordinates. (English) Zbl 0894.14021 Olshanski, G. I. (ed.), Kirillov’s seminar on representation theory. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 181(35), 85-108 (1998). Reviewer: M.Muro (Yanagido) MSC: 14M15 81T99 14G15 17B37 05A05 PDF BibTeX XML Cite \textit{B. Leclerc} and \textit{A. Zelevinsky}, Transl., Ser. 2, Am. Math. Soc. 181, 85--108 (1998; Zbl 0894.14021)
Turbiner, Alexander Interesting relations in Fock space. (English) Zbl 0905.47025 Ramírez de Arellano, E. (ed.) et al., Operator theory for complex and hypercomplex analysis. Proceedings of a conference, Mexico City, Mexico, December 12–17, 1994. Providence, RI: American Mathematical Society. Contemp. Math. 212, 277-283 (1998). MSC: 47B48 17B15 81S05 PDF BibTeX XML Cite \textit{A. Turbiner}, Contemp. Math. 212, 277--283 (1998; Zbl 0905.47025) Full Text: arXiv
Haine, Luc; Iliev, Plamen The bispectral property of a \(q\)-deformation of the Schur polynomials and the \(q\)-KdV hierarchy. (English) Zbl 0928.35148 J. Phys. A, Math. Gen. 30, No. 20, 7217-7227 (1997). MSC: 35Q53 37J99 33D80 17B37 PDF BibTeX XML Cite \textit{L. Haine} and \textit{P. Iliev}, J. Phys. A, Math. Gen. 30, No. 20, 7217--7227 (1997; Zbl 0928.35148) Full Text: DOI
Sommen, F. Defining a q-deformed version of Clifford analysis. (English) Zbl 0904.15014 Complex Variables, Theory Appl. 34, No. 3, 247-265 (1997). Reviewer: B.Fauser (Tübingen) MSC: 15A66 53C27 81Q05 30G35 15A90 PDF BibTeX XML Cite \textit{F. Sommen}, Complex Variables, Theory Appl. 34, No. 3, 247--265 (1997; Zbl 0904.15014) Full Text: DOI
Sommen, F. Deformations of the algebra of abstract vector variables. (English) Zbl 0905.15015 Adv. Appl. Clifford Algebr. 7, No. 2, 85-90 (1997). Reviewer: Waldyr A.Rodrigues (Campinas) MSC: 15A66 15A90 PDF BibTeX XML Cite \textit{F. Sommen}, Adv. Appl. Clifford Algebr. 7, No. 2, 85--90 (1997; Zbl 0905.15015) Full Text: DOI
Oh, C. H.; Singh, K. \(q\)-deformation of the Krichever-Novikov algebra. (English) Zbl 0895.17008 Lett. Math. Phys. 42, No. 2, 115-122 (1997). MSC: 17B37 17B68 16W30 14H55 PDF BibTeX XML Cite \textit{C. H. Oh} and \textit{K. Singh}, Lett. Math. Phys. 42, No. 2, 115--122 (1997; Zbl 0895.17008) Full Text: DOI arXiv