Representation Theory, Special Functions and Painlevé Equations
March 3–6, 2015 | Research Institute for Mathematical Sciences, Kyoto University
Representation Theory, Special Functions and Painlevé Equations — RIMS 2015

Editor(s) Hitoshi Konno, Hidetaka Sakai, Junichi Shiraishi, Takao Suzuki, Yasuhiko Yamada

Adv. Stud. Pure Math., 76: 541pp. (2018). DOI: 10.2969/aspm/07610000
TABLE OF CONTENTS
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Advanced Studies in Pure Mathematics Vol. 76, - (2018).
Hitoshi Konno , Hidetaka Sakai , Junichi Shiraishi , Takao Suzuki , Yasuhiko Yamada
Advanced Studies in Pure Mathematics Vol. 76, - (2018).
Advanced Studies in Pure Mathematics Vol. 76, - (2018).
Advanced Studies in Pure Mathematics Vol. 76, - (2018).
Masatoshi Noumi
Advanced Studies in Pure Mathematics Vol. 76, 1-65 (2018). https://doi.org/10.2969/aspm/07610001
KEYWORDS: elliptic Painlevé equation, $E_8$ lattice, $\tau$-function, Hirota equation, Casorati determinant, elliptic hypergeometric integral, 39A20, 33E17, 33D70
Philip Boalch
Advanced Studies in Pure Mathematics Vol. 76, 67-94 (2018). https://doi.org/10.2969/aspm/07610067
KEYWORDS: Stokes data, continuants, quivers, moduli, symplectic, hyperkähler, 53D30, 14D20, 16G20, 34M40, 34M55, 32Q20, 53D17
Dmitry Chicherin , Vyacheslav P. Spiridonov
Advanced Studies in Pure Mathematics Vol. 76, 95-123 (2018). https://doi.org/10.2969/aspm/07610095
KEYWORDS: Yang-Baxter equation, Faddeev-Volkov model, Sklyanin algebra, modular double, solvable lattice models, 33D60, 39A13, 82B20
Jan Felipe van Diejen , Erdal Emsiz
Advanced Studies in Pure Mathematics Vol. 76, 125-153 (2018). https://doi.org/10.2969/aspm/07610125
KEYWORDS: hypergeometric polynomials, symmetric functions, branching rules, 33C52, 05E05
Wellington Galleas , Jasper V. Stokman
Advanced Studies in Pure Mathematics Vol. 76, 155-193 (2018). https://doi.org/10.2969/aspm/07610155
KEYWORDS: Quantum Knizhnik-Zamolodchikov equations, dynamical quantum Yang-Baxter equation, affine Hecke algebras, quantum super algebras, connection problem, 17B37, 17B80, 20C08, 81R05
Martin Hallnäs , Simon Ruijsenaars
Advanced Studies in Pure Mathematics Vol. 76, 195-245 (2018). https://doi.org/10.2969/aspm/07610195
KEYWORDS: product formulas, conical function, quantum Calogero-Moser systems, 33C05, 33E30, 39A70, 47G10, 81R12
Yasushi Kajihara
Advanced Studies in Pure Mathematics Vol. 76, 247-274 (2018). https://doi.org/10.2969/aspm/07610247
KEYWORDS: basic hypergeometric series, multivariate basic hypergeometric series, 33D67, 33D15, 33D20
Sergey Khoroshkin , Maxim Nazarov
Advanced Studies in Pure Mathematics Vol. 76, 275-302 (2018). https://doi.org/10.2969/aspm/07610275
KEYWORDS: Affine Lie algebras, Cherednik algebras, 17B35
Anatol N. Kirillov
Advanced Studies in Pure Mathematics Vol. 76, 303-346 (2018). https://doi.org/10.2969/aspm/07610303
KEYWORDS: Catalan and Narayana numbers, stretched Kostka polynomials, internal product of Schur functions, rigged configurations, 05E05, 05E10, 05A19
Hitoshi Konno
Advanced Studies in Pure Mathematics Vol. 76, 347-417 (2018). https://doi.org/10.2969/aspm/07610347
KEYWORDS: Elliptic quantum group, Hopf algebroid, quantum determinant, 17B37, 20G42, 81R10, 81R50
Tom H. Koornwinder
Advanced Studies in Pure Mathematics Vol. 76, 419-447 (2018). https://doi.org/10.2969/aspm/07610419
KEYWORDS: quadratic transformations, orthogonal polynomials, ($q$-)Askey scheme, orthogonal polynomials in two variables, $BC_2$-type Jacobi polynomials, Koornwinder polynomials in two variables, 33C45, 33C52, 33D45, 33D52
Marta Mazzocco
Advanced Studies in Pure Mathematics Vol. 76, 449-468 (2018). https://doi.org/10.2969/aspm/07610449
KEYWORDS: Double Affine Hecke Algebra, Monodromy preserving deformations, Painlevé equations, 33D80, 33D52, 16T99
Katsuhisa Mimachi
Advanced Studies in Pure Mathematics Vol. 76, 469-485 (2018). https://doi.org/10.2969/aspm/07610469
KEYWORDS: complex hypergeometric integrals, complex beta integrals, twisted de Rham theory, 33C60, 33B15, 33C15
Frank Nijhoff , Neslihan Delice
Advanced Studies in Pure Mathematics Vol. 76, 487-525 (2018). https://doi.org/10.2969/aspm/07610487
KEYWORDS: Difference equations, Lax pair, Isomonodromic deformation problems, elliptic functions, 33E05, 33E17, 39A12, 39A14
Tôru Umeda
Advanced Studies in Pure Mathematics Vol. 76, 527-541 (2018). https://doi.org/10.2969/aspm/07610527
KEYWORDS: Capelli identity, group determinant, 17B35, 13N10
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