English

Generators for the representation rings of certain wreath products

Representation Theory 2015-02-24 v2

Abstract

Working in the setting of Deligne categories, we generalize a result of Marin that hooks generate the representation ring of symmetric groups to wreath products of symmetric groups with a fixed finite group or Hopf algebra. In particular, when we take the finite group to be cyclic order 2 we recover a conjecture of Marin about Coxeter groups in type B.

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Cite

@article{arxiv.1410.1786,
  title  = {Generators for the representation rings of certain wreath products},
  author = {Nate Harman},
  journal= {arXiv preprint arXiv:1410.1786},
  year   = {2015}
}

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11 pages