Pre-canonical bases on affine Hecke algebras

DOI10.1016/j.aim.2022.108255zbMath1485.05179OpenAlexW3136893551MaRDI QIDQ2118912

Nicolas Libedinsky, David Plaza, Leonardo Patimo

Publication date: 23 March 2022

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

Full work available at URL: https://doi.org/10.1016/j.aim.2022.108255

zbMATH Keywords

affine Weyl groupsHecke algebracanonical basisKazhdan-Lusztig

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Representations of finite groups of Lie type (20C33)

Related Items (3)

Kazhdan-Lusztig polynomials for \(\widetilde{B}_2\) ⋮ Character theory and categorification. Abstracts from the workshop held August 28 -- September 3, 2022 ⋮ On the affine Hecke category for \(\mathrm{SL}_3\)

Uses Software

• SageMath
• lie_algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A combinatorial setting for questions in Kazhdan-Lusztig theory
• Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
• Computing weight \(q\)-multiplicities for the representations of the simple Lie algebras
• Kazhdan-Lusztig polynomials and subexpressions
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Algebraic representations and constructible sheaves
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Singular Soergel Bimodules
• Permutohedra, Associahedra, and Beyond
• Points entiers dans les polyèdres convexes
• Atomic decomposition of characters and crystals
• Multi-atoms and monotonicity of generalized Kostka polynomials

This page was built for publication: Pre-canonical bases on affine Hecke algebras