$q$-Selberg integrals and Macdonald polynomials
From MaRDI portal
Publication:4717375
DOI10.24033/asens.1749zbMath0910.33011OpenAlexW2524094143MaRDI QIDQ4717375
Publication date: 20 April 1999
Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_1996_4_29_5_583_0
(q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
Related Items
The \({{\mathbb{F}}}_p\)-Selberg integral, Selberg integrals, super-hypergeometric functions and applications to β-ensembles of random matrices, Toda 3-point functions from topological strings. II, A theta product formula for Jackson integrals associated with root systems, Constant term identities of Forrester-Zeilberger-Cooper, On certain multiple Bailey, Rogers and Dougall type summation formulas, On a theta product formula for Jackson integrals associated with root systems of rank two, Remarks on the paper ``skew Pieri rules for Hall-Littlewood functions by Konvalinka and Lauve, Connection formula for the Jackson integral of type \(A_n\) and elliptic Lagrange interpolation, Generalizations of the \(q\)-Morris constant term identity, A Selberg integral for the Lie algebra \(A_n\), A bilateral extension of the $q$-Selberg integral, 2d-4d connection between \(q\)-Virasoro/\(W\) block at root of unity limit and instanton partition function on ALE space, The importance of the Selberg integral, \(q\)-difference systems for the Jackson integral of symmetric Selberg type, A generalization of Newton's identity and Macdonald functions, Askey-Wilson polynomials by means of a \(q\)-Selberg type integral, Heine's method and \(A_{n}\) to \(A_{m}\) transformation formulas, AFLT-type Selberg integrals, A \& B model approaches to surface operators and Toda thoeries, Branching rules for symmetric functions and \(\mathfrak{sl}_n\) basic hypergeometric series, The \({\mathfrak{sl}}_3\) Selberg integral, From \(p\)-adic to real Grassmannians via the quantum, \(q\)-difference shift for a \(BC_{n}\)-type Jackson integral arising from `elementary' symmetric polynomials, On $BC$ type basic hypergeometric orthogonal polynomials, A Nekrasov-Okounkov formula for Macdonald polynomials, Singular vectors of the Ding-Iohara-Miki algebra, Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series, The \(\mathbb{F}_p\)-Selberg integral of type \(A_n\), A partial theta function Borwein conjecture, Generalized binomial coefficients and Macdonald polynomials, On elliptic product formulas for Jackson integrals associated with reduced root systems, \(q\)-Selberg integrals and Koornwinder polynomials, Bounded Littlewood identities, Noncolliding Macdonald walks with an absorbing wall, An Ar threesome: Matrix models, 2d conformal field theories, and 4d N=2 gauge theories, Symmetric and nonsymmetric Macdonald polynomials, \(q\)-Selberg integrals and Macdonald polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Proof of a \(q\)-analog of a constant term identity conjectured by Forrester
- Constant term identities of Forrester-Zeilberger-Cooper
- The Selberg-Jack symmetric functions
- On a theta product formula for the symmetric \(A\)-type connection function
- Certain Hypergeometric Series Related to the Root System BC
- Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
- A Proof of Askey’s Conjectured q-Analogue of Selberg’s Integral and a Conjecture of Morris
- Une q-Intégrale de Selberg et Askey
- Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews
- Some multidimensional integrals related to many-body systems with the 1/r2potential
- Theq-Gamma andq-Beta Functions†
- On Connection Coefficients forq-Difference Systems ofA-Type Jackson Integrals