Weak order and descents for monotone triangles

DOI10.1016/j.ejc.2020.103083zbMath1437.05009arXiv1809.10571OpenAlexW3003757869MaRDI QIDQ1987077

Victor Reiner, Zachary Hamaker

Publication date: 9 April 2020

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

Full work available at URL: https://arxiv.org/abs/1809.10571

zbMATH Keywords

descent sets for permutationsEL-shellings

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Permutations, words, matrices (05A05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Random matrices (algebraic aspects) (15B52) Matrices of integers (15B36) Hopf algebras and their applications (16T05) Sign pattern matrices (15B35)

Related Items (1)

GENERALIZED ALTERNATING SIGN MATRICES AND SIGNED PERMUTATION MATRICES

Cites Work

• A poset \(\Phi_{n}\) whose maximal chains are in bijection with the \(n\times n\) alternating sign matrices
• Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings
• Alternating sign matrices and descending plane partitions
• Lattices and bases of Coxeter groups
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Hopf algebra structure on packed square matrices.
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Eulerian Numbers
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