A poset connected to Artin monoids of simply laced type

A.M. Cohen, D.A.H. Gijsbers, D.B. Wales

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)


Let W be a Weyl group whose type is a simply laced Dynkin diagram. On several W-orbits of sets of mutually commuting reflections, a poset is described which plays a role in linear representations of the corresponding Artin group A. The poset generalizes many properties of the usual order on positive roots of W given by height. In this paper, a linear representation of the positive monoid of A is defined by use of the poset.
Original languageEnglish
Pages (from-to)1646-1666
JournalJournal of Combinatorial Theory, Series A
Issue number8
Publication statusPublished - 2006


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