Seidov, S. S.; Mukhin, S. I. “Bound luminosity” state in the extended Dicke model. (English) Zbl 07749111 Ann. Phys. 456, Article ID 169301, 11 p. (2023). MSC: 81Q20 81Q50 37D45 78A40 60J35 57P10 35B34 33C45 81P68 PDFBibTeX XMLCite \textit{S. S. Seidov} and \textit{S. I. Mukhin}, Ann. Phys. 456, Article ID 169301, 11 p. (2023; Zbl 07749111) Full Text: DOI arXiv
Lanina, E.; Sleptsov, A. Tug-the-hook symmetry for quantum 6j-symbols. (English) Zbl 07744528 Phys. Lett., B 845, Article ID 138138, 10 p. (2023). MSC: 81Q30 35P15 22E70 33D45 22E67 57K10 58J28 PDFBibTeX XMLCite \textit{E. Lanina} and \textit{A. Sleptsov}, Phys. Lett., B 845, Article ID 138138, 10 p. (2023; Zbl 07744528) Full Text: DOI arXiv
Cherednik, Ivan Zeta-polynomials, superpolynomials, DAHA and plane curve singularities. arXiv:2304.02200 Preprint, arXiv:2304.02200 [math.QA] (2023). MSC: 11F67 11R23 11S40 14H20 14H50 20C08 22E35 30F10 33C52 33D52 55N10 57M25 BibTeX Cite \textit{I. Cherednik}, ``Zeta-polynomials, superpolynomials, DAHA and plane curve singularities'', Preprint, arXiv:2304.02200 [math.QA] (2023) Full Text: arXiv OA License
Berest, Yuri; Gallagher, Joseph; Samuelson, Peter Cyclotomic expansion of generalized Jones polynomials. (English) Zbl 1473.57055 Lett. Math. Phys. 111, No. 2, Paper No. 37, 32 p. (2021). Reviewer: Yuta Nozaki (Hiroshima) MSC: 57K31 20C08 57K14 33D52 PDFBibTeX XMLCite \textit{Y. Berest} et al., Lett. Math. Phys. 111, No. 2, Paper No. 37, 32 p. (2021; Zbl 1473.57055) Full Text: DOI arXiv
Kameyama, Masaya; Nawata, Satoshi; Tao, Runkai; Zhang, Hao Derrick Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams. (English) Zbl 1457.57014 Lett. Math. Phys. 110, No. 10, 2573-2583 (2020). MSC: 57K14 33D52 PDFBibTeX XMLCite \textit{M. Kameyama} et al., Lett. Math. Phys. 110, No. 10, 2573--2583 (2020; Zbl 1457.57014) Full Text: DOI arXiv
Spiridonov, Vyacheslav P. Introduction to the theory of elliptic hypergeometric integrals. (English) Zbl 1454.81205 Gritsenko, Valery (ed.) et al., Partition functions and automorphic forms. Lecture notes based on the presentations at the international scientifc school, Dubna, Russia, January 29 – February 2, 2018. Cham: Springer. Mosc. Lect. 5, 271-318 (2020). MSC: 81T40 81T60 33C70 33C52 20B05 20F55 57K41 81T35 PDFBibTeX XMLCite \textit{V. P. Spiridonov}, Mosc. Lect. 5, 271--318 (2020; Zbl 1454.81205) Full Text: DOI arXiv
Mironov, A.; Morozov, A. Kerov functions revisited. (English) Zbl 1436.81104 J. Geom. Phys. 150, Article ID 103608, 14 p. (2020). MSC: 81T30 81T32 81T45 57K10 57K14 33D52 05E05 05C69 22E70 PDFBibTeX XMLCite \textit{A. Mironov} and \textit{A. Morozov}, J. Geom. Phys. 150, Article ID 103608, 14 p. (2020; Zbl 1436.81104) Full Text: DOI arXiv
Carlsson, Erik; Gorsky, Eugene; Mellit, Anton The \(\mathbb{A}_{q,t}\) algebra and parabolic flag Hilbert schemes. (English) Zbl 1441.16045 Math. Ann. 376, No. 3-4, 1303-1336 (2020). MSC: 16W50 05E16 14C05 16E35 19G38 33C52 57K18 PDFBibTeX XMLCite \textit{E. Carlsson} et al., Math. Ann. 376, No. 3--4, 1303--1336 (2020; Zbl 1441.16045) Full Text: DOI arXiv
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei Can tangle calculus be applicable to hyperpolynomials? (English) Zbl 1435.57008 Nucl. Phys., B 949, Article ID 114816, 37 p. (2019). MSC: 57K14 05C69 14D15 33D52 PDFBibTeX XMLCite \textit{H. Awata} et al., Nucl. Phys., B 949, Article ID 114816, 37 p. (2019; Zbl 1435.57008) Full Text: DOI arXiv
Dunin-Barkowski, Petr; Popolitov, Aleksandr; Shadrin, Sergey; Sleptsov, Alexey Combinatorial structure of colored HOMFLY-PT polynomials for torus knots. (English) Zbl 1429.81080 Commun. Number Theory Phys. 13, No. 4, 763-826 (2019). MSC: 81T45 14H81 14J33 33C45 57K45 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., Commun. Number Theory Phys. 13, No. 4, 763--826 (2019; Zbl 1429.81080) Full Text: DOI arXiv
Hikami, Kazuhiro DAHA and skein algebra of surfaces: double-torus knots. (English) Zbl 1458.57011 Lett. Math. Phys. 109, No. 10, 2305-2358 (2019). Reviewer: Hitoshi Murakami (Sendai) MSC: 57K14 57K10 20C08 33D52 57M60 81R12 PDFBibTeX XMLCite \textit{K. Hikami}, Lett. Math. Phys. 109, No. 10, 2305--2358 (2019; Zbl 1458.57011) Full Text: DOI arXiv
Cherednik, Ivan; Philipp, Ian Modules over plane curve singularities in any ranks and DAHA. (English) Zbl 1435.14031 J. Algebra 520, 186-236 (2019). Reviewer: Martin Deraux (Gières) MSC: 14H50 17B22 17B45 20C08 20F36 22E50 22E57 30F10 33D52 33D80 57K14 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{I. Philipp}, J. Algebra 520, 186--236 (2019; Zbl 1435.14031) Full Text: DOI arXiv
Lê, Thang T. Q. On positivity of Kauffman bracket skein algebras of surfaces. (English) Zbl 1411.57036 Int. Math. Res. Not. 2018, No. 5, 1314-1328 (2018). MSC: 57N05 57M27 33C45 PDFBibTeX XMLCite \textit{T. T. Q. Lê}, Int. Math. Res. Not. 2018, No. 5, 1314--1328 (2018; Zbl 1411.57036) Full Text: DOI arXiv
Cherednik, Ivan Riemann hypothesis for DAHA superpolynomials and plane curve singularities. (English) Zbl 1422.57015 Commun. Number Theory Phys. 12, No. 3, 409-490 (2018). Reviewer: Hu Jun (Beijing) MSC: 57M25 14H50 20C08 20F36 17B22 33D52 55N10 PDFBibTeX XMLCite \textit{I. Cherednik}, Commun. Number Theory Phys. 12, No. 3, 409--490 (2018; Zbl 1422.57015) Full Text: DOI arXiv
Chan, Chuan-Tsung; Mironov, A.; Morozov, A.; Sleptsov, A. Orthogonal polynomials in mathematical physics. (English) Zbl 1397.81103 Ge, Mo-Lin (ed.) et al., Ludwig Faddeev memorial volume. A life in mathematical physics. Hackensack, NJ: World Scientific (ISBN 978-981-3233-76-8/hbk; 978-981-3233-87-4/ebook). 119-182 (2018). MSC: 81R50 33C45 81R12 57M25 81R10 81-02 PDFBibTeX XMLCite \textit{C.-T. Chan} et al., in: Ludwig Faddeev memorial volume. A life in mathematical physics. Hackensack, NJ: World Scientific. 119--182 (2018; Zbl 1397.81103) Full Text: DOI arXiv
Chan, Chuan-Tsung; Mironov, A.; Morozov, A.; Sleptsov, A. Orthogonal polynomials in mathematical physics. (English) Zbl 1393.81018 Rev. Math. Phys. 30, No. 6, Article ID 1840005, 64 p. (2018). MSC: 81R50 17B37 33C45 81R12 81R10 57Q45 17B68 PDFBibTeX XMLCite \textit{C.-T. Chan} et al., Rev. Math. Phys. 30, No. 6, Article ID 1840005, 64 p. (2018; Zbl 1393.81018) Full Text: DOI
Cherednik, Ivan; Philipp, Ian DAHA and plane curve singularities. (English) Zbl 1396.14026 Algebr. Geom. Topol. 18, No. 1, 333-385 (2018). MSC: 14H50 17B22 20F36 33D52 57M25 17B45 20C08 22E50 22E57 30F10 33D80 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{I. Philipp}, Algebr. Geom. Topol. 18, No. 1, 333--385 (2018; Zbl 1396.14026) Full Text: DOI arXiv
Wilson, A. T. Torus link homology and the nabla operator. (English) Zbl 1373.05205 J. Comb. Theory, Ser. A 154, 129-144 (2018). MSC: 05E05 05E10 57M25 33D52 PDFBibTeX XMLCite \textit{A. T. Wilson}, J. Comb. Theory, Ser. A 154, 129--144 (2018; Zbl 1373.05205) Full Text: DOI arXiv
Cherednik, Ivan; Danilenko, Ivan DAHA approach to iterated torus links. (English) Zbl 1405.57010 Beliakova, Anna (ed.) et al., Categorification in geometry, topology, and physics. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2821-1/pbk; 978-1-4704-3691-9/ebook). Contemporary Mathematics 684, 159-267 (2017). MSC: 57M25 20C08 14H50 17B22 17B45 20F36 33D52 30F10 55N10 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{I. Danilenko}, Contemp. Math. 684, 159--267 (2017; Zbl 1405.57010) Full Text: DOI arXiv
Garoufalidis, Stavros; Lê, Thang T. Q. A survey of \(q\)-holonomic functions. (English) Zbl 1373.33030 Enseign. Math. (2) 62, No. 3-4, 501-525 (2016). MSC: 33D45 33C45 57M25 57N10 PDFBibTeX XMLCite \textit{S. Garoufalidis} and \textit{T. T. Q. Lê}, Enseign. Math. (2) 62, No. 3--4, 501--525 (2016; Zbl 1373.33030) Full Text: DOI arXiv
Kökényesi, Zoltán; Sinkovics, Annamaria; Szabo, Richard J. Chiral expansion and Macdonald deformation of two-dimensional Yang-Mills theory. (English) Zbl 1371.81221 Fortschr. Phys. 64, No. 11-12, 823-853 (2016). MSC: 81T13 81R50 17B37 30F10 33D52 57R18 81T30 81T45 PDFBibTeX XMLCite \textit{Z. Kökényesi} et al., Fortschr. Phys. 64, No. 11--12, 823--853 (2016; Zbl 1371.81221) Full Text: DOI arXiv
Cammarota, V.; Marinucci, D.; Wigman, I. Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics. (English) Zbl 1351.60061 Proc. Am. Math. Soc. 144, No. 11, 4759-4775 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 60G60 33C55 42C10 60D05 57R20 60B10 PDFBibTeX XMLCite \textit{V. Cammarota} et al., Proc. Am. Math. Soc. 144, No. 11, 4759--4775 (2016; Zbl 1351.60061) Full Text: DOI arXiv
Cherednik, Ivan; Danilenko, Ivan DAHA and iterated torus knots. (English) Zbl 1375.14099 Algebr. Geom. Topol. 16, No. 2, 843-898 (2016). Reviewer: Daniel Moskovich (Beer-Sheva) MSC: 14H20 57M25 20C08 20F36 30F10 33D52 17B45 55N10 PDFBibTeX XMLCite \textit{I. Cherednik} and \textit{I. Danilenko}, Algebr. Geom. Topol. 16, No. 2, 843--898 (2016; Zbl 1375.14099) Full Text: DOI arXiv
Cherednik, Ivan DAHA-Jones polynomials of torus knots. (English) Zbl 1360.14076 Sel. Math., New Ser. 22, No. 2, 1013-1053 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 14G32 17B22 17B45 20C08 20F36 33D52 30F10 57M25 57R58 PDFBibTeX XMLCite \textit{I. Cherednik}, Sel. Math., New Ser. 22, No. 2, 1013--1053 (2016; Zbl 1360.14076) Full Text: DOI arXiv
Shakirov, Shamil Beta Deformation and Superpolynomials of (n,m) Torus Knots. arXiv:1111.7035 Preprint, arXiv:1111.7035 [math-ph] (2011). MSC: 57M27 33D52 BibTeX Cite \textit{S. Shakirov}, ``Beta Deformation and Superpolynomials of (n,m) Torus Knots'', Preprint, arXiv:1111.7035 [math-ph] (2011) Full Text: arXiv OA License
Humphries, Stephen P. Intersection theories and Chebyshev polynomials. III. (English) Zbl 1243.57012 J. Algebra Appl. 8, No. 1, 53-81 (2009). MSC: 57M50 11T06 16S99 33C45 PDFBibTeX XMLCite \textit{S. P. Humphries}, J. Algebra Appl. 8, No. 1, 53--81 (2009; Zbl 1243.57012) Full Text: DOI
Li, Genyuan; Rabitz, Herschel; Hu, Jishan; Chen, Zheng; Ju, Yiguang Regularized random-sampling high dimensional model representation (RS-HDMR). (English) Zbl 1202.33019 J. Math. Chem. 43, No. 3, 1207-1232 (2008). MSC: 33C50 41A10 57R12 PDFBibTeX XMLCite \textit{G. Li} et al., J. Math. Chem. 43, No. 3, 1207--1232 (2008; Zbl 1202.33019) Full Text: DOI
Humphries, Stephen P. Intersection-number operators and Chebyshev polynomials. IV: Non-planar cases. (English) Zbl 1186.57013 Geom. Dedicata 130, 25-41 (2007). MSC: 57M50 33C45 11T06 PDFBibTeX XMLCite \textit{S. P. Humphries}, Geom. Dedicata 130, 25--41 (2007; Zbl 1186.57013) Full Text: DOI
Hetyei, Gábor Polyspherical complexes. (English) Zbl 1082.05100 Ann. Comb. 9, No. 4, 379-409 (2005). MSC: 05E35 06A07 57Q05 PDFBibTeX XMLCite \textit{G. Hetyei}, Ann. Comb. 9, No. 4, 379--409 (2005; Zbl 1082.05100) Full Text: DOI
Hetyei, Gábor Orthogonal polynomials represented by CW-spheres. (English) Zbl 1054.06003 Electron. J. Comb. 11, No. 2, Research paper R4, 28 p. (2004). Reviewer: Alexandre A. Makhnev (Ekaterinburg) MSC: 06A07 57R15 05E35 PDFBibTeX XMLCite \textit{G. Hetyei}, Electron. J. Comb. 11, No. 2, Research paper R4, 28 p. (2004; Zbl 1054.06003) Full Text: EuDML EMIS
Jin, Xian’an; Zhang, Fuji Zeros of the Jones polynomials for families of pretzel links. (English) Zbl 1030.57008 Physica A 328, No. 3-4, 391-408 (2003). MSC: 57M25 05E35 PDFBibTeX XMLCite \textit{X. Jin} and \textit{F. Zhang}, Physica A 328, No. 3--4, 391--408 (2003; Zbl 1030.57008) Full Text: DOI
Kirillov, Alexander A. jun. On inner product in modular tensor categories. II: Inner product on conformal blocks and affine inner product identities. (English) Zbl 0905.05084 Adv. Theor. Math. Phys. 2, No. 1, 155-180 (1998). MSC: 05E35 18D10 81R50 57M99 PDFBibTeX XMLCite \textit{A. A. Kirillov jun.}, Adv. Theor. Math. Phys. 2, No. 1, 155--180 (1998; Zbl 0905.05084) Full Text: DOI arXiv
Kirillov, Alexander A. jun. On an inner product in modular tensor categories. (English) Zbl 0861.05065 J. Am. Math. Soc. 9, No. 4, 1135-1169 (1996). MSC: 05E35 18D10 81R50 57M99 PDFBibTeX XMLCite \textit{A. A. Kirillov jun.}, J. Am. Math. Soc. 9, No. 4, 1135--1169 (1996; Zbl 0861.05065) Full Text: DOI arXiv
Catanese, Fabrizio; Frediani, Paola Configurations of real and complex polynomials. (English) Zbl 0797.05083 Journées de géométrie algébrique d’Orsay, France, juillet 20-26, 1992. Paris: Société Mathématique de France, Astérisque. 218, 61-93 (1993). MSC: 05E35 05C05 57M15 PDFBibTeX XMLCite \textit{F. Catanese} and \textit{P. Frediani}, in: Journées de géométrie algébrique d'Orsay, France, juillet 20-26, 1992. Paris: Société Mathématique de France. 61--93 (1993; Zbl 0797.05083) Full Text: Link
Brylinski, Jean-Luc Legendre polynomials and the elliptic genus. (English) Zbl 0790.33010 J. Algebra 145, No. 1, 83-93 (1992). Reviewer: T.Sekiguchi (Tokyo) MSC: 33C45 33C05 33C80 58J26 14L05 11F11 11G05 22E45 57R20 55N22 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, J. Algebra 145, No. 1, 83--93 (1992; Zbl 0790.33010) Full Text: DOI
Gilbert, John E.; Murray, Margaret A. M. Clifford algebras and Dirac operators in harmonic analysis. (English) Zbl 0733.43001 Cambridge Studies in Advanced Mathematics, 26. Cambridge (UK): Cambridge University Press. vi, 334 p. £37.50; $ 75.00 (1991). Reviewer: Wilhelm Singhof (Düsseldorf) MSC: 43-02 43A80 15A66 58J20 58J60 58J40 30G30 31C05 32A35 57R15 PDFBibTeX XMLCite \textit{J. E. Gilbert} and \textit{M. A. M. Murray}, Clifford algebras and Dirac operators in harmonic analysis. Cambridge (UK): Cambridge University Press (1991; Zbl 0733.43001)
Mneimné, Rached; Testard, Frédéric Introduction à la théorie des groupes de Lie classiques. (Introduction to the theory of classical Lie groups). (French) Zbl 0598.22001 Collection Méthodes. Paris: Hermann. 345 p. (1986). Reviewer: F.Rouvière MSC: 22-01 20G20 22E15 57T20 20-01 PDFBibTeX XML
Lamotke, Klaus Regular solids and isolated singularities. (English) Zbl 0584.32014 Advanced Lectures in Mathematics. Braunschweig - Wiesbaden: Friedr. Vieweg & Sohn. IX, 224 p. (1986). Reviewer: V.Brînzănescu MSC: 32S05 32-02 32-01 52Bxx 32Sxx 20B25 20G20 32A10 32A38 13-01 57-01 PDFBibTeX XML
Sartori, G. A theorem on orbit structures (strata) of compact linear Lie groups. (English) Zbl 0536.57019 J. Math. Phys. 24, 765-768 (1983). Reviewer: A.Fleischer MSC: 57S15 57N80 20G05 PDFBibTeX XMLCite \textit{G. Sartori}, J. Math. Phys. 24, 765--768 (1983; Zbl 0536.57019) Full Text: DOI