On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. II

DOI10.1007/s00220-009-0919-9zbMath1222.17016OpenAlexW2740845329MaRDI QIDQ625450

Dimitri R. Lebedev, Anton A. Gerasimov, Sergey V. Oblezin

Publication date: 17 February 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-009-0919-9

zbMATH Keywords

latticeToda chainperiod map\(q\)-deformed Whittaker functionquasi-mapsemi-infinite geometry

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (14)

A path model for Whittaker vectors ⋮ Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials ⋮ On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. I ⋮ Representation theory over tropical semifield and Langlands duality ⋮ Baxter operator formalism for Macdonald polynomials ⋮ Spin \(q\)-Whittaker polynomials ⋮ On a classical limit of \(q\)-deformed Whittaker functions ⋮ An elliptic topological vertex ⋮ On topological field theory representation of higher analogs of classical special functions ⋮ Branching formula for \(q\)-Toda functions of type B ⋮ Weyl modules and \(q\)-Whittaker functions ⋮ On \(q\)-deformed \(\mathfrak{gl}_{\ell+1}\)-Whittaker function. III ⋮ Dualities in quantum integrable many-body systems and integrable probabilities. I. ⋮ Spin \(q\)-Whittaker polynomials and deformed quantum Toda

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