arXiv:2410.09897 Abstract | arXiv Analytics

arXiv:2410.09897 [math.CO]Abstract References Reviews Resources

Some open problems on Coxeter groups and unimodality

Published 2024-10-13Version 1

In this paper I present some open problems on Coxeter groups and unimodality, together with the main partial results, and computational evidence, that are known about them.

Comments: 14 pages

Journal: in "Open Problems in Algebraic Combinatorics", (C. Berkesch, B. Brubaker, G. Musiker, P. Pylyavskyy, and V. Reiner, editors) Proceedings of Symposia in Pure Math., American Mathematical Society, Vol. 110 (2024), 23-37

Categories: math.CO, math.GR, math.RT

Subjects: 05A20, 20F55, 05E10, 05E16

Keywords: coxeter groups, open problems, unimodality, main partial results

Tags: journal article

Related articles: Most relevant | Search more

arXiv:2303.16569 [math.CO] (Published 2023-03-29)

Shi arrangements and low elements in Coxeter groups

Matthew Dyer, Christophe Hohlweg, Susanna Fishel, Alice Mark

arXiv:1805.06581 [math.CO] (Published 2018-05-17)

Classification of Coxeter groups with finitely many elements of $\mathbf{a}$-value 2

R. M. Green, Tianyuan Xu

arXiv:1407.1968 [math.CO] (Published 2014-07-08, updated 2014-09-02)