scientific article; zbMATH DE number 2168575

zbMath1123.20004arXivmath/0403066MaRDI QIDQ4674808

Friedrich Knop

Publication date: 18 May 2005

Full work available at URL: https://arxiv.org/abs/math/0403066

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Kazhdan-Lusztig basesWeyl groupsspherical Hecke algebrasextended Hecke algebrasWeyl characters

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

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Dualities for root systems with automorphisms and applications to non-split groups ⋮ On the Satake isomorphism ⋮ Working session: Geometric representation theory. Abstracts from the working session held April 3--9, 2022 ⋮ Unitary representations of affine Hecke algebras related to Macdonald spherical functions ⋮ Unnamed Item ⋮ Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials ⋮ The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials ⋮ Buildings and Hecke algebras. ⋮ Pre-canonical bases on affine Hecke algebras

Cites Work

• Representations of Coxeter groups and Hecke algebras
• Affine Hecke Algebras and Their Graded Version
• Désingularisation des variétés de Schubert généralisées
• Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln
• Introduction to quantum groups
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