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Conjugacy of Coxeter elements
Kungliga Teknikiska Högskolan.
Stockholm University, Faculty of Humanities, Centre for the Study of Cultural Evolution.
2009 (English)In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 16, no 2, -R4 p.Article in journal (Refereed) Published
Abstract [en]

For a Coxeter group (W, S), a permutation of the set S is called a Coxeter word and the group element represented by the product is called a Coxeter element. Moving the first letter to the end of the word is called a rotation and two Coxeter elements are rotation equivalent if their words can be transformed into each other through a sequence of rotations and legal commutations. We prove that Coxeter elements are conjugate if and only if they are rotation equivalent. This was known for some special cases but not for Coxeter groups in general.

Place, publisher, year, edition, pages
2009. Vol. 16, no 2, -R4 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:su:diva-31565OAI: oai:DiVA.org:su-31565DiVA: diva2:277631
Projects
Coxeter
Available from: 2009-11-19 Created: 2009-11-19 Last updated: 2017-12-12Bibliographically approved

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http://www.combinatorics.org/Volume_16/PDF/v16i2r4.pdf
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