Bruhat order on the fixed-point subgroup by a Coxeter graph automorphism.

DOI10.1016/j.jalgebra.2004.10.027zbMath1069.20027OpenAlexW2022087885MaRDI QIDQ1772429

Masayuki Nanba

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.10.027

zbMATH Keywords

Coxeter systemsBruhat orderfixed-point subgroupsgroup automorphismsautomorphisms of Coxeter graphs

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Automorphisms of infinite groups (20E36)

Related Items (4)

Bruhat interval polytopes ⋮ Fixed points of zircon automorphisms ⋮ The totally nonnegative part of \(G/P\) is a CW complex ⋮ Almost central involutions in split extensions of Coxeter groups by graph automorphisms

Cites Work

• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Lattices and bases of Coxeter groups
• Endomorphisms of linear algebraic groups
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