Matthew Antrobus

collaborators

3 papers

math.RT2026

Outer derivations on blocks of group algebras

Matthew Antrobus, Benjamin Briggs, Lleonard Rubio y Degrassi

Let $B$ be a block of a finite group algebra $k G$ . Linckelmann has conjectured that if the defect group $P$ of $B$ is nontrivial then $B$ admits a $k$ -linear outer derivation, or i…

math.KT2025

On solvability of the first Hochschild cohomology of odd p-groups

Matthew Antrobus

We give a necessary and sufficient criterion for the solvability of $HH^{1} (k P)$ as a Lie algebra, where $P$ is a $p$ -group with $p$ odd, in terms of a directed graph…

math.RA2025

BV structure on the Hochschild cohomology of twisted tensor products

Matthew Antrobus

Given two Frobenius algebras, we describe the BV operator on the Hochschild cohomology of their tensor product twisted by a bicharacter in terms of twisted BV operators on summands…