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On the Quiver Presentation of the Descent Algebra of the Symmetric Group
Descent algebra symmetric group quiver presentation
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2012/6/15
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic...
Quasi-free actions of finite groups on the Cuntz algebra $\mathcal{O}_\infty$
Quasi-free actions finite groups Cuntz algebra $\mathcal{O}_\infty$
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2011/1/17
We show that any faithful quasi-free actions of a finite group on the Cuntz algebra O1 are mutually conjugate, and that they are asymptotically rep-resentable.
Category O for the rational Cherednik algebra associated to the complex reflection group G_12
the rational Cherednik algebra the complex reflection group G_12
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2010/11/23
In this paper, we describe the irreducible representations in category O of the rational Cherednik algebra H_c(G_12,h) associated to the complex reflection group G_12 with reflection representation h ...