Matrix coefficients and Iwahori-Hecke algebra modules

DOI10.1016/j.aim.2016.05.012zbMath1347.22014arXiv1507.07572OpenAlexW2964086448MaRDI QIDQ2629106

Daniel Bump, Solomon Friedberg, Benjamin Brubaker

Publication date: 20 July 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07572

zbMATH Keywords

Hecke algebra\(p\)-adic groupCasselman-Shalika formulaspherical vectorWhittaker functionalunique functionaluniversal principal seriesBessel functionalspherical functional

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)

Related Items (5)

Hecke modules from metaplectic ice ⋮ Values of Iwahori-fixed vectors in the non-split Bessel model on \(\mathrm{GSp}(2n)\) ⋮ The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Iwahori component of Bessel model spaces

Cites Work

• Whittaker functions and Demazure operators
• On modules over the Hecke algebra of a p-adic group
• Schubert varieties and Demazure's character formula
• Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
• Explicit formulas for the Waldspurger and Bessel models
• Unique functionals and representations of Hecke algebras
• Lie Groups
• A Casselman–Shalika Formula for the Shalika Model of GL_n
• Désingularisation des variétés de Schubert généralisées
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