Whittaker functions and Demazure operators

DOI10.1016/j.jnt.2014.01.001zbMath1366.22008arXiv1111.4230OpenAlexW2008555147MaRDI QIDQ462820

Benjamin Brubaker, Daniel Bump, Anthony M. Licata

Publication date: 22 October 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4230

zbMATH Keywords

Whittaker functionsBott-Samelson varietiesDemazure operatorsIwahori subgroup

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (13)

Notes on Schubert, Grothendieck and key polynomials ⋮ Matrix coefficients and Iwahori-Hecke algebra modules ⋮ Stochastic symplectic ice ⋮ Hecke modules from metaplectic ice ⋮ A combinatorial formula for Sahi, Stokman, and Venkateswaran's generalization of Macdonald polynomials ⋮ Whittaker functions from motivic Chern classes ⋮ Values of Iwahori-fixed vectors in the non-split Bessel model on \(\mathrm{GSp}(2n)\) ⋮ Specializations of nonsymmetric Macdonald-Koornwinder polynomials ⋮ On Iwahori-Whittaker functions for metaplectic groups ⋮ Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract) ⋮ Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials ⋮ WHITTAKER FUNCTIONS AND DEMAZURE CHARACTERS ⋮ Yang–Baxter algebras, convolution algebras, and Grassmannians

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