Tao, Wen-Qing The Heisenberg double of the quantum Euclidean group and its representations. (English) Zbl 07726224 Sci. China, Math. 66, No. 8, 1713-1736 (2023). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 16S40 16D25 16D60 16W20 20G42 PDFBibTeX XMLCite \textit{W.-Q. Tao}, Sci. China, Math. 66, No. 8, 1713--1736 (2023; Zbl 07726224) Full Text: DOI arXiv
Mi, Bin-Zhou; Wang, Huai-Yu Theoretical investigation of the magnetic properties of ferromagnetic CrI\(_3\) monolayer. (English) Zbl 1506.82040 Ann. Phys. 447, Part 1, Article ID 169166, 8 p. (2022). MSC: 82D40 82B20 82B27 PDFBibTeX XMLCite \textit{B.-Z. Mi} and \textit{H.-Y. Wang}, Ann. Phys. 447, Part 1, Article ID 169166, 8 p. (2022; Zbl 1506.82040) Full Text: DOI
Shi, Yun; Wu, Qingyan The Penrose transform and the exactness of the tangential \(k\)-Cauchy-Fueter complex on the Heisenberg group. (English) Zbl 1467.58012 Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 33, 22 p. (2021). Reviewer: Gabor Etesi (Budapest) MSC: 58J10 32L25 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{Q. Wu}, Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 33, 22 p. (2021; Zbl 1467.58012) Full Text: DOI
Xu, Fan; Zhang, Haicheng Drinfeld doubles via derived Hall algebras and Bridgeland’s Hall algebras. (English) Zbl 1524.16047 Czech. Math. J. 71, No. 1, 253-267 (2021). Reviewer: Yang Shilin (Beijing) MSC: 16T05 17B20 17B37 PDFBibTeX XMLCite \textit{F. Xu} and \textit{H. Zhang}, Czech. Math. J. 71, No. 1, 253--267 (2021; Zbl 1524.16047) Full Text: DOI arXiv
Fairon, M.; Fehér, L.; Marshall, I. Trigonometric real form of the spin RS model of Krichever and Zabrodin. (English) Zbl 1468.37047 Ann. Henri Poincaré 22, No. 2, 615-675 (2021). MSC: 37J35 37J39 37J37 37J38 70H06 53D17 53D20 PDFBibTeX XMLCite \textit{M. Fairon} et al., Ann. Henri Poincaré 22, No. 2, 615--675 (2021; Zbl 1468.37047) Full Text: DOI arXiv
Boubekri, Abderrazak; El Hafidi, Mohamed Compensation and hysteresis behaviors in a Heisenberg ferrimagnetic mixed spin \(( \frac12, 1)\) system. (English) Zbl 1467.82102 Int. J. Theor. Phys. 59, No. 11, 3408-3417 (2020). MSC: 82D45 82C20 82C26 82C27 PDFBibTeX XMLCite \textit{A. Boubekri} and \textit{M. El Hafidi}, Int. J. Theor. Phys. 59, No. 11, 3408--3417 (2020; Zbl 1467.82102) Full Text: DOI
Brundan, Jonathan; Savage, Alistair; Webster, Ben Heisenberg and Kac-Moody categorification. (English) Zbl 1489.17020 Sel. Math., New Ser. 26, No. 5, Paper No. 74, 61 p. (2020). Reviewer: Mee Seong Im (Annapolis) MSC: 17B67 17B10 18N10 PDFBibTeX XMLCite \textit{J. Brundan} et al., Sel. Math., New Ser. 26, No. 5, Paper No. 74, 61 p. (2020; Zbl 1489.17020) Full Text: DOI arXiv
Fehér, L.; Marshall, I. Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric \(\mathrm {BC}_n\) Sutherland system. (English) Zbl 1410.37057 Ann. Henri Poincaré 20, No. 4, 1217-1262 (2019). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J35 37J15 53D20 70G65 70E55 PDFBibTeX XMLCite \textit{L. Fehér} and \textit{I. Marshall}, Ann. Henri Poincaré 20, No. 4, 1217--1262 (2019; Zbl 1410.37057) Full Text: DOI arXiv
Suzuki, Sakie The universal quantum invariant and colored ideal triangulations. (English) Zbl 1409.16029 Algebr. Geom. Topol. 18, No. 6, 3363-3402 (2018). MSC: 16T25 57M27 81R50 PDFBibTeX XMLCite \textit{S. Suzuki}, Algebr. Geom. Topol. 18, No. 6, 3363--3402 (2018; Zbl 1409.16029) Full Text: DOI arXiv
Zhang, Haicheng Bridgeland’s Hall algebras and Heisenberg doubles. (English) Zbl 1391.16016 J. Algebra Appl. 17, No. 6, Article ID 1850104, 12 p. (2018). MSC: 16G20 17B20 17B37 PDFBibTeX XMLCite \textit{H. Zhang}, J. Algebra Appl. 17, No. 6, Article ID 1850104, 12 p. (2018; Zbl 1391.16016) Full Text: DOI arXiv
Rashkovskiy, Sergey A. Quantum mechanics without quanta. II: The nature of the electron. (English) Zbl 1386.81070 Quantum Stud. Math. Found. 4, No. 1, 29-58 (2017). MSC: 81Q05 81V80 81P05 70S05 81S05 62J10 81U05 PDFBibTeX XMLCite \textit{S. A. Rashkovskiy}, Quantum Stud. Math. Found. 4, No. 1, 29--58 (2017; Zbl 1386.81070) Full Text: DOI
Gal, Adam; Gal, Elena Symmetric self-adjoint Hopf categories and a categorical Heisenberg double. (English) Zbl 1399.18003 Q. J. Math. 68, No. 2, 503-550 (2017). Reviewer: Xiangqian Guo (Waterloo) MSC: 18E10 16T05 PDFBibTeX XMLCite \textit{A. Gal} and \textit{E. Gal}, Q. J. Math. 68, No. 2, 503--550 (2017; Zbl 1399.18003) Full Text: DOI arXiv
Schrader, Gus; Shapiro, Alexander Dual pairs of quantum moment maps and doubles of Hopf algebras. (English) Zbl 1396.16027 J. Algebra 492, 74-89 (2017). MSC: 16T05 PDFBibTeX XMLCite \textit{G. Schrader} and \textit{A. Shapiro}, J. Algebra 492, 74--89 (2017; Zbl 1396.16027) Full Text: DOI arXiv
Street, Ross Wreaths, mixed wreaths and twisted coactions. (English) Zbl 1437.18006 Tbil. Math. J. 10, No. 3, 1-22 (2017). MSC: 18C20 16T30 18N10 05A15 18A32 20H30 PDFBibTeX XMLCite \textit{R. Street}, Tbil. Math. J. 10, No. 3, 1--22 (2017; Zbl 1437.18006) Full Text: DOI arXiv
Fehér, L.; Görbe, T. F. The full phase space of a model in the Calogero-Ruijsenaars family. (English) Zbl 1377.37084 J. Geom. Phys. 115, 139-149 (2017). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J35 70E40 70E55 PDFBibTeX XMLCite \textit{L. Fehér} and \textit{T. F. Görbe}, J. Geom. Phys. 115, 139--149 (2017; Zbl 1377.37084) Full Text: DOI arXiv
Berenstein, Arkady; Greenstein, Jacob Double canonical bases. (English) Zbl 1434.17018 Adv. Math. 316, 381-468 (2017). MSC: 17B37 17B67 58B32 PDFBibTeX XMLCite \textit{A. Berenstein} and \textit{J. Greenstein}, Adv. Math. 316, 381--468 (2017; Zbl 1434.17018) Full Text: DOI arXiv
Yang, Tao; Zhou, Xuan; Chen, Juzhen Heisenberg double as braided commutative Yetter-Drinfel’d module algebra over Drinfel’d double in multiplier Hopf algebra case. (English) Zbl 1362.16035 Abh. Math. Semin. Univ. Hamb. 87, No. 1, 23-38 (2017). MSC: 16T05 16S40 PDFBibTeX XMLCite \textit{T. Yang} et al., Abh. Math. Semin. Univ. Hamb. 87, No. 1, 23--38 (2017; Zbl 1362.16035) Full Text: DOI arXiv
Berdeja Suárez, Diego Integral presentations of quantum lattice Heisenberg algebras. (English) Zbl 1361.16020 Beliakova, Anna (ed.) et al., Categorification and higher representation theory. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2460-2/pbk; 978-1-4704-3689-6/ebook). Contemporary Mathematics 683, 247-259 (2017). MSC: 16T05 17B35 05E05 16T30 PDFBibTeX XMLCite \textit{D. Berdeja Suárez}, Contemp. Math. 683, 247--259 (2017; Zbl 1361.16020) Full Text: DOI arXiv
Sun, Jie Quasisymmetric functions and Heisenberg doubles. (English) Zbl 1429.16023 J. Algebra Comb. Discrete Struct. Appl. 3, No. 3, 195-200 (2016). MSC: 16T05 05E05 PDFBibTeX XMLCite \textit{J. Sun}, J. Algebra Comb. Discrete Struct. Appl. 3, No. 3, 195--200 (2016; Zbl 1429.16023)
Rashkovskiy, Sergey A. Quantum mechanics without quanta: the nature of the wave-particle duality of light. (English) Zbl 1338.81438 Quantum Stud. Math. Found. 3, No. 2, 147-160 (2016). MSC: 81V80 82C10 PDFBibTeX XMLCite \textit{S. A. Rashkovskiy}, Quantum Stud. Math. Found. 3, No. 2, 147--160 (2016; Zbl 1338.81438) Full Text: DOI arXiv
Li, Yunnan Representation theory of 0-Hecke-Clifford algebras. (English) Zbl 1331.05229 J. Algebra 453, 189-220 (2016). MSC: 05E10 05E05 05E99 16T99 20C08 PDFBibTeX XMLCite \textit{Y. Li}, J. Algebra 453, 189--220 (2016; Zbl 1331.05229) Full Text: DOI arXiv
Wang, Na; Wang, Rui; Wang, Zhi-Xi; Wu, Ke; Yang, Jie; Yang, Zi-Feng The categorification of fermions. (English) Zbl 1308.81114 Commun. Theor. Phys. 63, No. 2, 129-135 (2015). MSC: 81R50 18D05 PDFBibTeX XMLCite \textit{N. Wang} et al., Commun. Theor. Phys. 63, No. 2, 129--135 (2015; Zbl 1308.81114) Full Text: DOI
Savage, Alistair; Yacobi, Oded Categorification and Heisenberg doubles arising from towers of algebras. (English) Zbl 1302.05204 J. Comb. Theory, Ser. A 129, 19-56 (2015). MSC: 05E05 05E10 20C08 16T05 PDFBibTeX XMLCite \textit{A. Savage} and \textit{O. Yacobi}, J. Comb. Theory, Ser. A 129, 19--56 (2015; Zbl 1302.05204) Full Text: DOI arXiv
Meng, Gao-Qing; Gao, Yi-Tian; Sun, Yu-Hao; Qin, Yi; Yu, Xin Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system. (English) Zbl 1368.35256 Comput. Math. Appl. 66, No. 12, 2559-2569 (2014). MSC: 35Q60 35C08 78A30 78M25 PDFBibTeX XMLCite \textit{G.-Q. Meng} et al., Comput. Math. Appl. 66, No. 12, 2559--2569 (2014; Zbl 1368.35256) Full Text: DOI
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Sun, Kun \(N\)-soliton solutions, Bäcklund transformation and conservation laws for the integro-differential nonlinear Schrödinger equation from the isotropic inhomogeneous Heisenberg spin magnetic chain. (Russian, English) Zbl 1313.35329 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 4, 720-720 (2014); translation in Comput. Math. Math. Phys. 54, No. 4, 727-743 (2014). MSC: 35Q55 37K10 PDFBibTeX XMLCite \textit{P. Wang} et al., Zh. Vychisl. Mat. Mat. Fiz. 54, No. 4, 720--720 (2014; Zbl 1313.35329); translation in Comput. Math. Math. Phys. 54, No. 4, 727--743 (2014) Full Text: DOI
Aldi, Marco; Heluani, Reimundo Dilogarithms, OPE, and twisted \(T\)-duality. (English) Zbl 1300.81056 Int. Math. Res. Not. 2014, No. 6, 1528-1575 (2014). Reviewer: Dmitri Artamonov (Moscow) MSC: 81T10 81R25 81T25 35R03 11G55 14D21 PDFBibTeX XMLCite \textit{M. Aldi} and \textit{R. Heluani}, Int. Math. Res. Not. 2014, No. 6, 1528--1575 (2014; Zbl 1300.81056) Full Text: DOI arXiv
Kirchanov, V. S. Heisenberg double of supersymmetric algebras for noncommutative quantum field theory. (English. Russian original) Zbl 1294.81251 Russ. Phys. J. 56, No. 4, 444-455 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 56, No. 4, 79-87 (2013). MSC: 81T60 81T75 16T05 81R05 17A70 PDFBibTeX XMLCite \textit{V. S. Kirchanov}, Russ. Phys. J. 56, No. 4, 444--455 (2013; Zbl 1294.81251); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 56, No. 4, 79--87 (2013) Full Text: DOI
Tralli, Giulio Double ball property: an overview and the case of step two Carnot groups. (English) Zbl 1317.35273 “Bruno Pini” Mathematical Analysis Seminar, University of Bologna, Department of Mathematics: Academic Year 2012. Papers from the seminar held in Bologna, Italy, 2012. Bologna: Univ. Bologna, Department of Mathematics. 33-47 (2012). MSC: 35R03 35J70 PDFBibTeX XMLCite \textit{G. Tralli}, in: ``Bruno Pini'' Mathematical Analysis Seminar, University of Bologna, Department of Mathematics: Academic Year 2012. Papers from the seminar held in Bologna, Italy, 2012. Bologna: Univ. Bologna, Department of Mathematics. 33--47 (2012; Zbl 1317.35273) Full Text: Link
Shan, P.; Vasserot, E. Heisenberg algebras and rational double affine Hecke algebras. (English) Zbl 1287.20008 J. Am. Math. Soc. 25, No. 4, 959-1031 (2012). MSC: 20C08 17B67 17B37 05E10 PDFBibTeX XMLCite \textit{P. Shan} and \textit{E. Vasserot}, J. Am. Math. Soc. 25, No. 4, 959--1031 (2012; Zbl 1287.20008) Full Text: DOI arXiv
Tralli, Giulio Double ball property for non-divergence horizontally elliptic operators on step two Carnot groups. (English) Zbl 1257.35190 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 23, No. 4, 351-360 (2012). MSC: 35R03 35J70 PDFBibTeX XMLCite \textit{G. Tralli}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 23, No. 4, 351--360 (2012; Zbl 1257.35190) Full Text: DOI
Borowiec, A.; Pachol, A. Heisenberg doubles of quantized Poincaré algebras. (English. Russian original) Zbl 1274.81147 Theor. Math. Phys. 169, No. 2, 1620-1628 (2011); translation from Teor. Mat. Fiz. 169, No. 2, 297-306 (2011). MSC: 81S10 53D55 16S40 83A05 PDFBibTeX XMLCite \textit{A. Borowiec} and \textit{A. Pachol}, Theor. Math. Phys. 169, No. 2, 1620--1628 (2011; Zbl 1274.81147); translation from Teor. Mat. Fiz. 169, No. 2, 297--306 (2011) Full Text: DOI
Škoda, Zoran Heisenberg double versus deformed derivatives. (English) Zbl 1263.81224 Int. J. Mod. Phys. A 26, No. 27-28, 4845-4854 (2011). MSC: 81R60 17B37 81R50 16T05 22E70 PDFBibTeX XMLCite \textit{Z. Škoda}, Int. J. Mod. Phys. A 26, No. 27--28, 4845--4854 (2011; Zbl 1263.81224) Full Text: DOI arXiv
Bauer, Wolfram; Furutani, Kenro; Iwasaki, Chisato Spectral analysis and geometry of sub-Laplacian and related Grushin-type operators. (English) Zbl 1307.58012 Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Basel: Birkhäuser (ISBN 978-3-0348-0023-5/hbk; 978-3-0348-0024-2/ebook). Operator Theory: Advances and Applications 211. Advances in Partial Differential Equations, 183-290 (2011). MSC: 58J50 53C17 11M36 35H20 35K08 35P05 35P10 PDFBibTeX XMLCite \textit{W. Bauer} et al., Oper. Theory: Adv. Appl. 211, 183--290 (2011; Zbl 1307.58012) Full Text: DOI
Isaev, Alexei P.; Pyatov, Pavel Spectral extension of the quantum group cotangent bundle. (English) Zbl 1179.58003 Commun. Math. Phys. 288, No. 3, 1137-1179 (2009). Reviewer: Akira Asada (Takarazuka) MSC: 58B32 16T20 81R50 17B37 20G42 14K25 PDFBibTeX XMLCite \textit{A. P. Isaev} and \textit{P. Pyatov}, Commun. Math. Phys. 288, No. 3, 1137--1179 (2009; Zbl 1179.58003) Full Text: DOI arXiv
Machida, Yoshinori Integral representations of solutions to the sub-Laplace equations by twistor theory. (English) Zbl 1148.32010 JP J. Geom. Topol. 7, No. 1, 1-22 (2007). Reviewer: Michael G. Eastwood (Adelaide) MSC: 32L25 53D10 53C17 53C28 53C65 PDFBibTeX XMLCite \textit{Y. Machida}, JP J. Geom. Topol. 7, No. 1, 1--22 (2007; Zbl 1148.32010)
Klimčík, C. On moment maps associated to a twisted Heisenberg double. (English) Zbl 1113.81115 Rev. Math. Phys. 18, No. 7, 781-821 (2006). MSC: 81T40 22E70 81R25 PDFBibTeX XMLCite \textit{C. Klimčík}, Rev. Math. Phys. 18, No. 7, 781--821 (2006; Zbl 1113.81115) Full Text: DOI arXiv
Karadzhov, G. Eremiev Solvability on the Heisenberg group. (English) Zbl 1092.35024 Math. Nachr. 279, No. 4, 400-414 (2006). Reviewer: Marco Biroli (Milano) MSC: 35H20 35A05 43A80 PDFBibTeX XMLCite \textit{G. E. Karadzhov}, Math. Nachr. 279, No. 4, 400--414 (2006; Zbl 1092.35024) Full Text: DOI
Kravchenko, V. F.; Basarab, M. A. Numerical methods for solving integral equations for functions with double orthogonality. (English. Russian original) Zbl 1075.65150 Differ. Equ. 40, No. 9, 1321-1329 (2004); translation from Differ. Uravn. 40, No. 9, 1248-1255 (2004). MSC: 65R20 45E10 42C05 PDFBibTeX XMLCite \textit{V. F. Kravchenko} and \textit{M. A. Basarab}, Differ. Equ. 40, No. 9, 1321--1329 (2004; Zbl 1075.65150); translation from Differ. Uravn. 40, No. 9, 1248--1255 (2004) Full Text: DOI
Sevostyanov, Alexey Towards Drinfeld-Sokolov reduction for quantum groups. (English) Zbl 0980.17008 J. Geom. Phys. 33, No. 3-4, 235-256 (2000). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{A. Sevostyanov}, J. Geom. Phys. 33, No. 3--4, 235--256 (2000; Zbl 0980.17008) Full Text: DOI arXiv
Arutyunov, G. E.; Frolov, S. A.; Medvedev, P. B. Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double. (English) Zbl 0925.81437 J. Phys. A, Math. Gen. 30, No. 14, 5051-5063 (1997). MSC: 81V70 81R50 37N99 PDFBibTeX XMLCite \textit{G. E. Arutyunov} et al., J. Phys. A, Math. Gen. 30, No. 14, 5051--5063 (1997; Zbl 0925.81437) Full Text: DOI arXiv
Kapranov, M. M. Eisenstein series and quantum affine algebras. (English) Zbl 0929.11015 J. Math. Sci., New York 84, No. 5, 1311-1360 (1997). Reviewer: Steffen König (Bielefeld) MSC: 11F22 16G20 16W35 17B37 14F05 PDFBibTeX XMLCite \textit{M. M. Kapranov}, J. Math. Sci., New York 84, No. 5, 1311--1360 (1997; Zbl 0929.11015) Full Text: DOI arXiv
Jurčo, B.; Schlieker, M. Quantized Lax equations and their solutions. (English) Zbl 0882.58019 Commun. Math. Phys. 185, No. 2, 397-410 (1997). Reviewer: V.Oproiu (Iaşi) MSC: 53D50 37J35 37K10 17B37 81S10 PDFBibTeX XMLCite \textit{B. Jurčo} and \textit{M. Schlieker}, Commun. Math. Phys. 185, No. 2, 397--410 (1997; Zbl 0882.58019) Full Text: DOI arXiv
Arutyunov, G. E. Poisson reduction of twisted Heisenberg double and finite-dimensional integrable systems. (English) Zbl 0952.37023 Czech. J. Phys. 46, No. 12, 1131-1135 (1996). MSC: 37K10 81R12 82B23 81R50 PDFBibTeX XMLCite \textit{G. E. Arutyunov}, Czech. J. Phys. 46, No. 12, 1131--1135 (1996; Zbl 0952.37023) Full Text: DOI
Alekseev, A. Yu.; Malkin, A. Z. Symplectic structure of the moduli space of flat connection on a Riemann surface. (English) Zbl 0829.53028 Commun. Math. Phys. 169, No. 1, 99-119 (1995). Reviewer: St.Janeczko (Warszawa) MSC: 53C15 58D27 PDFBibTeX XMLCite \textit{A. Yu. Alekseev} and \textit{A. Z. Malkin}, Commun. Math. Phys. 169, No. 1, 99--119 (1995; Zbl 0829.53028) Full Text: DOI arXiv
Glushchenkov, D. V.; Lyakhovskaya, A. V. Regular representation of the quantum Heisenberg double \(\{ U_q(sl(2)),Fun_q(SL(2))\}\) \((q\) is a root of unity). (English) Zbl 0907.17011 J. Math. Sci., New York 85, No. 1, 1629-1639 (1997); translation from Zap. Nauchn. Semin. POMI 215, 115-129 (1994). MSC: 17B37 16W30 81R50 PDFBibTeX XMLCite \textit{D. V. Glushchenkov} and \textit{A. V. Lyakhovskaya}, J. Math. Sci., New York 85, No. 1, 115--129 (1994; Zbl 0907.17011); translation from Zap. Nauchn. Semin. POMI 215, 115--129 (1994) Full Text: DOI arXiv EuDML
Semenov-Tian-Shansky, M. A. Poisson Lie groups, quantum duality principle, and the quantum double. (English) Zbl 0841.17008 Sally, Paul J. jun. (ed.) et al., Mathematical aspects of conformal and topological field theories and quantum groups. AMS-IMS-SIAM summer research conference, June 13-19, 1992, Mount Holyoke College, South Hadley, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 175, 219-248 (1994). Reviewer: V.Pestov (Wellington) MSC: 17B37 53D50 16W30 37J99 22D35 PDFBibTeX XMLCite \textit{M. A. Semenov-Tian-Shansky}, Contemp. Math. 175, 219--248 (1994; Zbl 0841.17008) Full Text: arXiv
Lu, Jiang-Hua On the Drinfeld double and the Heisenberg double of a Hopf algebra. (English) Zbl 0815.16020 Duke Math. J. 74, No. 3, 763-776 (1994). Reviewer: Li Fang (Nanjing) MSC: 16W30 17B37 16S40 PDFBibTeX XMLCite \textit{J.-H. Lu}, Duke Math. J. 74, No. 3, 763--776 (1994; Zbl 0815.16020) Full Text: DOI
Glushchenkov, D. V.; Lyakhovskaya, A. V. Regular representation of the quantum Heisenberg double \([U_ q(sl(2)),\text{Fun}_ q(SL(2))]\) (\(q\) is a root of unity). (English) Zbl 0866.17014 Zap. Nauchn. Semin. POMI 215, 115-129 (1994). MSC: 17B37 16W30 81R50 PDFBibTeX XMLCite \textit{D. V. Glushchenkov} and \textit{A. V. Lyakhovskaya}, Zap. Nauchn. Semin. POMI 215, 115--129 (1994; Zbl 0866.17014) Full Text: EuDML
Sun, Changpu; Ge, Molin Quantum double structure for Heisenberg-Weyl algebra without \(q\)- deformation. (English) Zbl 0821.17018 J. Phys. A, Math. Gen. 26, No. 23, 7031-7040 (1993). MSC: 17B37 16W30 82B20 PDFBibTeX XMLCite \textit{C. Sun} and \textit{M. Ge}, J. Phys. A, Math. Gen. 26, No. 23, 7031--7040 (1993; Zbl 0821.17018) Full Text: DOI arXiv
Medina, Alberto; Revoy, Philippe Lie Poisson groups and double extension. (Groupes de Lie Poisson et double extension.) (French) Zbl 0765.22003 Sémin. Gaston Darboux Géom. Topologie Différ. 1990-1991, 87-105 (1992). Reviewer: G.Pripoae (Bucureşti) MSC: 22E15 22E60 17B30 PDFBibTeX XMLCite \textit{A. Medina} and \textit{P. Revoy}, Sémin. Gaston Darboux Géom. Topologie Différ. 1990--1991, 87--105 (1992; Zbl 0765.22003)
Semenov-Tyan-Shanskij, M. A. Poisson-Lie groups. The quantum duality principle and the twisted quantum double. (English. Russian original) Zbl 0834.22019 Theor. Math. Phys. 93, No. 2, 1292-1307 (1992); translation from Teor. Mat. Fiz. 93, No. 2, 302-329 (1992). MSC: 22E65 37J99 16W30 17B37 81R50 PDFBibTeX XMLCite \textit{M. A. Semenov-Tyan-Shanskij}, Theor. Math. Phys. 93, No. 2, 1 (1992; Zbl 0834.22019); translation from Teor. Mat. Fiz. 93, No. 2, 302--329 (1992)
Jing, Naihuan Vertex operators, symmetric functions, and the spin group \(\Gamma_ n\). (English) Zbl 0727.20011 J. Algebra 138, No. 2, 340-398 (1991). Reviewer: P.D.Jarvis (Hobart) MSC: 20C30 17B65 17B67 PDFBibTeX XMLCite \textit{N. Jing}, J. Algebra 138, No. 2, 340--398 (1991; Zbl 0727.20011) Full Text: DOI
Connes, Alain Noncommutative geometry. (Géométrie non commutative.) (French) Zbl 0745.46067 Paris: InterEditions. 240 p. (1990). Reviewer: H.Schröder (Dortmund) MSC: 46L87 46-02 46L85 81T70 81S10 58J22 46L51 46L53 46L54 46L37 19K56 19D55 PDFBibTeX XMLCite \textit{A. Connes}, Géométrie non commutative. Paris: InterEditions (1990; Zbl 0745.46067)
Cotlar, Mischa; Sadosky, Cora Two-parameter lifting theorems and double Hilbert transforms in commutative and non-commutative settings. (English) Zbl 0718.47011 J. Math. Anal. Appl. 150, No. 2, 439-480 (1990). MSC: 47A57 47D06 47A40 44A15 PDFBibTeX XMLCite \textit{M. Cotlar} and \textit{C. Sadosky}, J. Math. Anal. Appl. 150, No. 2, 439--480 (1990; Zbl 0718.47011) Full Text: DOI
Grigis, A. Propagation des singularites sur des groupes de Lie nilpotents de rang 2. II. (French) Zbl 0518.58039 Ann. Sci. Éc. Norm. Supér. (4) 15, 161-171 (1982). MSC: 58J47 58J40 22E25 35S05 PDFBibTeX XMLCite \textit{A. Grigis}, Ann. Sci. Éc. Norm. Supér. (4) 15, 161--171 (1982; Zbl 0518.58039) Full Text: DOI Numdam EuDML