The absolute order on the symmetric group, constructible partially ordered sets and Cohen–Macaulay complexes

Author:

Athanasiadis Christos A.,Kallipoliti Myrto

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference20 articles.

1. D. Armstrong, Braid groups, clusters and free probability: An outline from the AIM Workshop, January 2005, available at http://www.aimath.org/WWN/braidgroups/

2. D. Armstrong, Generalized noncrossing partitions and combinatorics of Coxeter groups, preprint, 2007, 156 pp., math.CO/0611106, Mem. Amer. Math. Soc., in press

3. Shellability of noncrossing partition lattices;Athanasiadis;Proc. Amer. Math. Soc.,2007

4. The dual braid monoid;Bessis;Ann. Sci. Ecole Norm. Sup.,2003

5. Shellable and Cohen–Macaulay partially ordered sets;Björner;Trans. Amer. Math. Soc.,1980

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1. q-Stirling numbers in type B;European Journal of Combinatorics;2024-05

2. The intermediate orders of a Coxeter group;Proceedings of the American Mathematical Society;2023-01-13

3. Absolute order in general linear groups;Journal of the London Mathematical Society;2017-01-06

4. A Poset Fiber Theorem for Doubly Cohen-Macaulay Posets and Its Applications;Annals of Combinatorics;2013-08-22

5. The absolute order of a permutation representation of a Coxeter group;Journal of Algebraic Combinatorics;2013-03-27

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