The Center of the Nilcoxeter and 0-Hecke Algebras

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dc.creatorBrichard, Joelle
dc.date2008-11-16
dc.date.accessioned2026-07-07T10:18:46Z
dc.date.available2026-07-07T10:18:46Z
dc.descriptionWe compute the dimension of the center of the 0-Hecke algebra $\mathcal{H}_n$ and of the Nilcoxeter algebra $\mathcal{NC}_n$ using a calculus of diagrams on the Möbius band. In the case of the Nilcoxeter algebra, this calculus is shown to produce a basis for $Z(\mathcal{NC}_n)$ and the table of multiplication in this basis is shown to be trivial. We conjecture that a basis for $Z(\mathcal{H}_n)$ can also be obtained in a specific way from this topological calculus.
dc.description28 pages, 25 figures
dc.identifierhttps://arxiv.org/abs/0811.2590
dc.identifierhttp://arxiv.org/abs/0811.2590
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174299
dc.subjectRings and Algebras
dc.subject16B99
dc.titleThe Center of the Nilcoxeter and 0-Hecke Algebras
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