Products in Hochschild cohomology and Grothendieck rings of group crossed products Academic Article uri icon

abstract

  • We give a general construction of rings graded by the conjugacy classes of a finite group. Some examples of our construction are the Hochschild cohomology ring of a finite group algebra, the Grothendieck ring of the Drinfel'd double of a group, and the orbifold cohomology ring for a global quotient. We generalize the first two examples by deriving product formulas for the Hochschild cohomology ring of a group crossed product and for the Grothendieck ring of an abelian extension of Hopf algebras. Our results account for similarities in the product structures among these examples. 2003 Elsevier Inc. All rights reserved.

published proceedings

  • Advances in Mathematics

author list (cited authors)

  • Witherspoon, S. J.

citation count

  • 13

complete list of authors

  • Witherspoon, SJ

publication date

  • June 2004