Separable elements and splittings of Weyl groups

DOI10.1016/j.aim.2020.107389zbMath1448.05223arXiv1911.11172OpenAlexW2991279375MaRDI QIDQ2006095

Yibo Gao, Christian Gaetz

Publication date: 8 October 2020

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

Full work available at URL: https://arxiv.org/abs/1911.11172

zbMATH Keywords

Weyl groupgraph associahedronweak orderseparable permutationlinear extensiongeneralized quotient

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07) Algebraic aspects of posets (06A11) Combinatorial aspects of groups and algebras (05E16)

Related Items (4)

Geometric inequalities for anti-blocking bodies ⋮ The hull metric on Coxeter groups ⋮ Effective Poset Inequalities ⋮ Counting shellings of complete bipartite graphs and trees

Cites Work

• Unnamed Item
• Pattern matching for permutations
• Product decompositions of the symmetric group induced by separable permutations
• Permutation statistics and linear extensions of posets
• Inequalities for the number of linear extensions
• Geometrical techniques for estimating numbers of linear extensions
• Generating trees and the Catalan and Schröder numbers
• Wonderful models of subspace arrangements
• Separable elements: linear extensions, graph associahedra, and splittings of Weyl groups
• Separable elements in Weyl groups
• Coxeter complexes and graph-associahedra
• Smoothness of Schubert varieties via patterns in root subsystems
• Combinatorics of Coxeter Groups
• Permutohedra, Associahedra, and Beyond
• Generalized Quotients in Coxeter Groups
• Bootstrap Percolation, the Schröder Numbers, and theN-Kings Problem
• Why Is Pi Less Than Twice Phi?

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