The Bruhat order on conjugation-invariant sets of involutions in the symmetric group

DOI10.1016/j.endm.2015.06.002zbMath1335.05217arXiv1502.03598OpenAlexW2595582299MaRDI QIDQ2803323

Mikael Hansson

Publication date: 4 May 2016

Published in: Electronic Notes in Discrete Mathematics, Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03598

zbMATH Keywords

symmetric groupinvolutionBruhat ordergraded posetconjugacy classEL-shellability

Mathematics Subject Classification ID

Cites Work

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• The Bruhat order on symmetric varieties
• Twisted identities in Coxeter groups.
• Complements to `The Bruhat order on symmetric varieties'
• The Bruhat order on the involutions of the symmetric group
• Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions
• Fixed points of involutive automorphisms of the Bruhat order
• Combinatorics of Coxeter Groups
• The combinatorics of twisted involutions in Coxeter groups
• Shellable and Cohen-Macaulay Partially Ordered Sets
• The Bruhat Order of the Symmetric Group is Lexicographically Shellable

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