Quotients of twisted Bruhat orders

DOI10.1006/jabr.1994.1049zbMath0833.20049OpenAlexW2015559101MaRDI QIDQ1320161

Matthew J. Dyer

Publication date: 12 March 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1994.1049

zbMATH Keywords

regular elementsCoxeter groupsindecomposable affine Weyl groupspositive root systemstwisted Bruhat orders

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Combinatorics of partially ordered sets (06A07) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (12)

On inversion sets and the weak order in Coxeter groups ⋮ \(n\)-low elements and maximal rank \(k\) reflection subgroups of Coxeter groups ⋮ Biclosed sets in affine root systems ⋮ Local finiteness of the twisted Bruhat orders on affine Weyl groups ⋮ Proof of Cellini’s conjecture on self-avoiding paths in Coxeter groups ⋮ On the Weak Order of Coxeter Groups ⋮ A combinatorial formula expressing periodic \(R\)-polynomials ⋮ The Maximal Chains of the Extended Bruhat Orders on the  × -Orbits of an Infinite Renner Monoid ⋮ Twisted weak orders of Coxeter groups ⋮ Imaginary cone and reflection subgroups of Coxeter groups ⋮ On the combinatorics of \(B\times B\)-orbits on group compactifications ⋮ Twisted filtrations of Soergel bimodules and linear Rouquier complexes

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