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Sorting orders, subword complexes, Bruhat order and total positivity

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Publication:534176
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DOI10.1016/j.aam.2010.09.006zbMath1227.05269arXiv0909.2828OpenAlexW1989863422WikidataQ57437447 ScholiaQ57437447MaRDI QIDQ534176

Drew Armstrong, Patricia Hersh

Publication date: 17 May 2011

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

Full work available at URL: https://arxiv.org/abs/0909.2828


zbMATH Keywords

homotopy typeBruhat orderweak orderQuillen fiber Lemma


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (2)

Depth in classical Coxeter groups ⋮ Regular cell complexes in total positivity.



Cites Work

  • Regular cell complexes in total positivity.
  • Gröbner geometry of Schubert polynomials
  • The sorting order on a Coxeter group.
  • Bruhat order of Coxeter groups and shellability
  • Homotopy properties of the poset of nontrivial p-subgroups of a group
  • Subword complexes in Coxeter groups.
  • A reduction theorem for totally positive matrices
  • Combinatorics of Coxeter Groups
  • Double Bruhat cells and total positivity
  • Stratified spaces formed by totally positive varieties


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