The Representation Ring of the Twisted Quantum Double of a Finite Group Academic Article uri icon

abstract

  • We provide an isomorphism between the Grothendieck ring of modules of the twisted quantum double of a finite group, and a product of centres of twisted group algebras of centralizer subgroups. It follows that this Grothendieck ring is semisimple. Another consequence is a formula for the characters of this ring in terms of representations of twisted group algebras of centralizer subgroups.

author list (cited authors)

  • Witherspoon, S. J.

citation count

  • 6

publication date

  • December 1996