Hochschild cohomology ring of the generalized quaternion algebras

Hochschild Cohomology of Algebras of Quaternion Type, I: Generalized Quaternion Groups

In terms of generators and defining relations, a description is given of the Hochschild cohomology algebra for one of the series of local algebras of quaternion type. As a corollary, the Hochschild cohomology algebra is described for the group algebras of generalized quaternion groups over algebraically closed fields of characteristic 2. Introduction Let R be a finite-dimensional algebra over a...

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 of the Liu–schulz Algebras

A description of the Hochschild cohomology algebra for the symmetric 8-dimensional algebras found by Liu and Schulz is given in terms of generators and relations. The dimensions of the cohomology groups are calculated. §

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...