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arXiv · 0708.4213

On the quiver of the descent algebra

Franco V. Saliola
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Abstract

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.

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Franco V. Saliola. 2008-07-09. On the quiver of the descent algebra. https://arxiv.org/abs/0708.4213

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