• Corpus ID: 119314067

G(l,k,d)-modules via groupoids

  title={G(l,k,d)-modules via groupoids},
  author={Volodymyr Mazorchuk and Catharina Stroppel},
  journal={arXiv: Representation Theory},
In this note we describe a seemingly new approach to the complex representation theory of the wreath product $G\wr S_d$ where $G$ is a finite abelian group. The approach is motivated by an appropriate version of Schur-Weyl duality. We construct a combinatorially defined groupoid in which all endomorphism algebras are direct products of symmetric groups and prove that the groupoid algebra is isomorphic to the group algebra of $G\wr S_d$. This directly implies a classification of simple modules… 
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