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arxiv: 0708.4213 · v2 · pith:NNDPFPHMnew · submitted 2007-08-30 · 🧮 math.RT · math.CO

On the quiver of the descent algebra

classification 🧮 math.RT math.CO
keywords algebradescentquiverapproacharrangementassociatedconstructedcoxeter
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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.

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