Hochschild Cohomology and Representation-finite Algebras

Second Hochschild Cohomology of Convolution Algebras

Hochschild Cohomology via Incidence Algebras

Given an algebra A we associate an incidence algebra A(Σ) and compare their Hochschild cohomology groups.

Hochschild Cohomology and Quantum Drinfeld Hecke Algebras

Abstract. Quantum Drinfeld Hecke algebras are generalizations of Drinfeld Hecke algebras in which polynomial rings are replaced by quantum polynomial rings. We identify these algebras as deformations of skew group algebras, giving an explicit connection to Hochschild cohomology. We compute the relevant part of Hochschild cohomology for actions of many reflection groups and we exploit computatio...

Hochschild Cohomology and Graded Hecke Algebras

We develop and collect techniques for determining Hochschild cohomology of skew group algebras S(V )#G and apply our results to graded Hecke algebras. We discuss the explicit computation of certain types of invariants under centralizer subgroups, focusing on the infinite family of complex reflection groups G(r, p, n) to illustrate our ideas. Resulting formulas for Hochschild two-cocycles give i...

Hochschild Cohomology of Algebras: Structure and Applications

Speaker: Petter Andreas Bergh (NTNU) Title: Hochschild (co)homology of quantum complete intersections Abstract: This is joint work with Karin Erdmann. We construct a minimal projective bimodule resolution for finite dimensional quantum complete intersections of codimension 2. Then we use this resolution to compute the Hochschild homology and cohomology for such an algebra. In particular, we sho...