WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS

DOI10.1017/S1474748017000214zbMath1472.11162arXiv1602.06451OpenAlexW2963799608MaRDI QIDQ5242870

Cristian Lenart, Kyu-Hwan Lee, Dongwen Liu

Publication date: 7 November 2019

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06451

zbMATH Keywords

shellabilityDemazure charactersCasselman-Shalika formulaDemazure-Lusztig operatorsIwahori-Whittaker functions

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (2)

Whittaker functions from motivic Chern classes ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series

Cites Work

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• Whittaker functions and Demazure operators
• A combinatorial setting for questions in Kazhdan-Lusztig theory
• Bruhat order of Coxeter groups and shellability
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Singular loci of Schubert varieties
• Towards generalized cohomology Schubert calculus via formal root polynomials
• Casselman’s Basis of Iwahori Vectors and the Bruhat Order
• Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)

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