Hochschild Cohomology of Algebras of Dihedral Type, I: the Family D(3k) in Characteristic 2

@inproceedings{COHOMOLOGY2005HochschildCO,
  title={Hochschild Cohomology of Algebras of Dihedral Type, I: the Family D(3k) in Characteristic 2},
  author={HOCHSCHILD COHOMOLOGY},
  year={2005}
}
  • HOCHSCHILD COHOMOLOGY
  • Published 2005
In terms of generators and defining relations, the Hochschild cohomology algebras are described for all algebras of dihedral type in the family D(3K) over an algebraically closed field of characteristic 2. The results are applied to three other families of algebras of dihedral type, namely, D(3A)1, D(3B)1, and D(3D)1. As a corollary, a description is obtained for the Hochschild cohomology algebra for blocks with dihedral defect group and three simple modules; in particular, this applies to… CONTINUE READING