Sarah Witherspoon

THE HOCHSCHILD COHOMOLOGY RING OF A GROUP ALGEBRA

There is a standard additive decomposition of the Hochschild cohomology ring of the group algebra of a finite group

Irreducible representations of crossed products

G

Cohomology of finite-dimensional pointed Hopf algebras

as the direct sum of the cohomology rings of the centralizers of representatives of the conjugacy classes of

HOCHSCHILD COHOMOLOGY AND GRADED HECKE ALGEBRAS

G

A Poincaré-Birkhoff-Witt theorem for quadratic algebras with group actions

. A special case of our main result describes the cup product in terms of this decomposition. As applications, we determine presentations for the Hochschild cohomology rings of [(1)] the mod-

HOPF QUIVERS AND NICHOLS ALGEBRAS IN POSITIVE CHARACTERISTIC

3

Hochschild cohomology of group extensions of quantum symmetric algebras

group algebra of the symmetric group

Skew Derivations and Deformations of a Family of Group Crossed Products

S_3

The Representation Ring and the Centre of a Hopf Algebra

, [(2)] the mod-

The Hochschild cohomology ring of a cyclic block

2