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Boolean complexes of involutions

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Publication:2694460
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DOI10.1007/s00026-022-00629-9OpenAlexW3201022527MaRDI QIDQ2694460

Axel Hultman, Vincent Umutabazi

Publication date: 3 April 2023

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.05832



Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20Fxx) Computational number theory (11Yxx) Homology and cohomology theories in algebraic topology (55Nxx)



Uses Software

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Cites Work

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  • Pattern avoidance and Boolean elements in the Bruhat order on involutions
  • On optimizing discrete Morse functions
  • Homotopy type of the Boolean complex of a Coxeter system.
  • The Bruhat order on symmetric varieties
  • Twisted identities in Coxeter groups.
  • Complexes of injective words and their commutation classes
  • Complements to `The Bruhat order on symmetric varieties'
  • On the topology of simplicial complexes related to 3-connected and Hamiltonian graphs
  • A user's guide to discrete Morse theory
  • Pattern avoidance and the Bruhat order.
  • Involution words. II: Braid relations and atomic structures
  • The combinatorics of twisted involutions in Coxeter groups
  • A word property for twisted involutions in Coxeter groups




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