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A two-sided analogue of the Coxeter complex

For any Coxeter system (W, S) of rank n, we introduce an abstract boolean complex (simplicial poset) of dimension 2n − 1 which contains the Coxeter complex as a relative subcomplex. Faces are indexed by triples (J,w,K), where J and K are subsets of the set S of simple generators, and w is a minimal...

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Autore principale: T. Kyle Petersen
Natura: Artigo
Lingua:Inglês
Pubblicazione: Discrete Mathematics & Theoretical Computer Science 2020-04-01
Serie:Discrete Mathematics & Theoretical Computer Science
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Accesso online:https://dmtcs.episciences.org/6353/pdf
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