On Hochschild Cohomology of Preprojective Algebras, II

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 homology of preprojective algebras over the integers

We determine the Z-module structure and explicit bases for the preprojective algebra Π and all of its Hochschild (co)homology, for any non-Dynkin quiver. This answers (and generalizes) a conjecture of Hesselholt and Rains, producing new p-torsion elements in degrees 2p, l ≥ 1. We relate these elements by p-th power maps and interpret them in terms of the kernel of Verschiebung maps from noncomm...

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...