Generators for the representation rings of certain wreath products

2014/10/07 by Harman, Nate
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1410.1786

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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