On the quiver of the descent algebra

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We study the quiver of the descent algebra of a finite Coxeter group W. The results include a derivation of the quiver of the descent algebra of types A and B. Our approach is to study the descent algebra as an algebra constructed from the reflection arrangement associated to W.
31 pages, LaTeX; major revision; to appear in Journal of Algebra

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Representation Theory, Combinatorics, 20F55, 05E99 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/164391

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.4213
 http://arxiv.org/abs/0708.4213

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arXiv