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

DOI10.1007/s00220-009-0917-yzbMath1222.17015arXiv0803.0970OpenAlexW2146301993MaRDI QIDQ625446

Anton A. Gerasimov, Dimitri R. Lebedev, 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://arxiv.org/abs/0803.0970

zbMATH Keywords

characterrepresentationToda chainGelfand-Zetlin basis\(q\)-deformed Whittaker function

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)

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