A Generalization of an Alternating Sum Formula for Finite Coxeter Groups

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For W a finite Coxeter group, a formula is found for the size of W equivalence classes of subsets of a base. The proof is a case-by-case analysis using results and tables of Carter and Orlik/Solomon. As a corollary we obtain an alternating sum identity which generalizes a well-known identity from the theory of Coxeter groups.
6 pages

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Group Theory, Combinatorics, 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/76568

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802016
 http://arxiv.org/abs/math/9802016

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arXiv