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Prism permutations in the Bruhat order

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Publication:6596191
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DOI10.1016/j.aam.2024.102734MaRDI QIDQ6596191

Bridget Eileen Tenner

Publication date: 2 September 2024

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





Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)


Cites Work

  • Repetition in reduced decompositions
  • Mesh patterns and the expansion of permutation statistics as sums of permutation patterns
  • Homology of the Boolean complex
  • Describing West-3-stack-sortable permutations with permutation patterns
  • Pattern avoidance and Boolean elements in the Bruhat order on involutions
  • Homotopy type of the Boolean complex of a Coxeter system.
  • Reduced word manipulation: patterns and enumeration
  • Interval structures in the Bruhat and weak orders
  • Pattern-functions, statistics, and shallow permutations
  • The range of repetition in reduced decompositions
  • Pattern avoidance and the Bruhat order.
  • A unification of permutation patterns related to Schubert varieties
  • Combinatorics of Coxeter Groups
  • Intersecting principal Bruhat ideals and grades of simple modules
  • Boolean intersection ideals of permutations in the Bruhat order







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