Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes

DOI10.1016/j.aim.2021.107688OpenAlexW3138025992MaRDI QIDQ2020404

Xuhua He, Sian Nie, Jeffrey D. Adams

Publication date: 23 April 2021

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

Full work available at URL: https://arxiv.org/abs/2004.01337

zbMATH Keywords

Weyl groupsconjugacy classesreductive groupspartial orders

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Structure theory for linear algebraic groups (20G07)

Related Items (2)

On Lusztig's map for spherical unipotent conjugacy classes in disconnected groups ⋮ Minimal reduction type and the Kazhdan-Lusztig map

Uses Software

• CHEVIE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Deligne-Lusztig characters
• The geometry of Newton strata in the reduction modulo \(p\) of Shimura varieties of PEL type
• Classes unipotentes et sous-groupes de Borel
• Representations of reductive groups over finite fields
• CHEVIE -- A system for computing and processing generic character tables
• Minimal length elements in some double cosets of Coxeter groups.
• Geometric and homological properties of affine Deligne-Lusztig varieties
• From conjugacy classes in the Weyl group to unipotent classes
• From conjugacy classes in the Weyl group to unipotent classes, II
• Minimal length elements of extended affine Weyl groups
• From conjugacy classes in the Weyl group to unipotent classes, III
• Kottwitz-Rapoport conjecture on unions of affine Deligne-Lusztig varieties
• Combinatorics of Coxeter Groups
• Green functions for groups of typeE₆andF₄in charateristics 2
• Purity of the stratification by Newton polygons
• Hecke Algebras with Unequal Parameters
• Newton strata in the loop group of a reductive group
• The Newton stratification on deformations of local G-shtukas
• Decomposition matrices for low-rank unitary groups
• Hecke algebras and $p$-adic groups

This page was built for publication: Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes