Bruhat order on classical Weyl groups: minimal chains and covering relation.

DOI10.1016/j.ejc.2004.03.006zbMath1083.20036OpenAlexW2014017223MaRDI QIDQ1775036

Federico Incitti

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2004.03.006

zbMATH Keywords

Weyl groupssymmetric groupsCoxeter groupsBruhat ordersaturated chainsgraded shellable posetslexicographically minimal labellings

Mathematics Subject Classification ID

Related Items (4)

Covering relations of k-Grassmannian permutations of type B ⋮ Bruhat order on the involutions of classical Weyl groups. ⋮ More on the combinatorial invariance of Kazhdan-Lusztig polynomials ⋮ On Involutions in the Weyl Group and B-Orbit Closures in the Orthogonal Case

Cites Work

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• Cohen-Macaulay quotients of polynomial rings
• The Bruhat order on the involutions of the hyperoctahedral group.
• Order dimension, strong Bruhat order and lattice properties for posets
• Shellable and Cohen-Macaulay Partially Ordered Sets
• The Bruhat Order of the Symmetric Group is Lexicographically Shellable
• Möbius inversion for the Bruhat ordering on a Weyl group

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