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arXiv · 1307.3338

On the Quiver Presentation of the Descent Algebra of the Hyperoctahedral Group

Marcus Bishop
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Abstract

In a recent article we introduced a mechanism for producing a presentation of the descent algebra of the symmetric group as a quiver with relations, the mechanism arising from a new construction of the descent algebra as a homomorphic image of an algebra of binary forests. Here we extend the method to construct a similar presentation of the descent algebra of the hyperoctahedral group, providing a simple proof of the known formula for the quiver of this algebra and a straightforward method for calculating the relations.

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BibTeXRIS

Marcus Bishop. 2014-08-11. On the Quiver Presentation of the Descent Algebra of the Hyperoctahedral Group. https://arxiv.org/abs/1307.3338

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