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A positive Grassmannian analogue of the permutohedron

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Publication:2796711
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DOI10.1090/proc/12923zbMath1332.05154arXiv1501.00714OpenAlexW2962957331MaRDI QIDQ2796711

Lauren K. Williams

Publication date: 29 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00714


zbMATH Keywords

weak Bruhat orderSchubert cellsBruhat interval polytopes


Mathematics Subject Classification ID

Algebraic combinatorics (05E99)


Related Items (1)

One-skeleton posets of Bruhat interval polytopes



Cites Work

  • Unnamed Item
  • Regular cell complexes in total positivity.
  • Posets, regular CW complexes and Bruhat order
  • Bruhat order of Coxeter groups and shellability
  • Classical Bruhat orders and lexicographic shellability
  • An algebraic cell decomposition of the nonnegative part of a flag variety
  • Grassmannian Geometry of Scattering Amplitudes
  • Positroid varieties: juggling and geometry
  • GRASSMANNIANS AND CLUSTER ALGEBRAS
  • The Bruhat Order of the Symmetric Group is Lexicographically Shellable
  • Oriented Matroids
  • KP solitons, total positivity, and cluster algebras
  • Shelling totally nonnegative flag varieties
  • Stratified spaces formed by totally positive varieties


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