Small roots, low elements, and the weak order in Coxeter groups

DOI10.1016/j.aim.2016.06.022zbMath1397.20047arXiv1505.02058OpenAlexW2963299623MaRDI QIDQ305736

Christophe Hohlweg, Matthew J. Dyer

Publication date: 30 August 2016

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

Full work available at URL: https://arxiv.org/abs/1505.02058

zbMATH Keywords

Coxeter groupsroot systemsBruhat orderdominance orderlow elementssmall rootsweak orderGarside familiesinversion setsroot poset

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

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