Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)

zbMath1435.20011arXiv1512.04485MaRDI QIDQ5111019

Hiroshi Naruse, Maki Nakasuji

Publication date: 26 May 2020

Full work available at URL: https://arxiv.org/abs/1512.04485

zbMATH Keywords

Demazure-Lusztig operatorIwahori fixed vectorCasselman's problemYang-Baxter basis

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

Related Items (3)

Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract) ⋮ WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS ⋮ Casselman’s Basis of Iwahori Vectors and Kazhdan–Lusztig Polynomials

Cites Work

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• Whittaker functions and Demazure operators
• On certain Iwahori invariants in the unramified principal series
• \(R\)-matrix arising from affine Hecke algebras and its application to Macdonald's difference operators
• Flag varieties and the Yang-Baxter equation
• Kac-Moody groups, their flag varieties and representation theory
• A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
• Casselman’s Basis of Iwahori Vectors and the Bruhat Order
• Excited Young diagrams and equivariant Schubert calculus
• Affine Hecke Algebras and Their Graded Version
• K-theory Schubert calculus of the affine Grassmannian
• Equivariant K-Theory and Representations of Hecke Algebras
• Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)

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