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arXiv · 2503.16697

On the solvability of the Lie algebra $\mathrm{HH}^1(B)$ for blocks of finite groups

Markus Linckelmann·Jialin Wang
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Abstract

We give some criteria for the Lie algebra $\mathrm{HH}^1(B)$ to be solvable, where $B$ is a $p$-block of a finite group algebra, in terms of the action of an inertial quotient of $B$ on a defect group of $B$.

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Markus Linckelmann, Jialin Wang. 2025-03-20. On the solvability of the Lie algebra $\mathrm{HH}^1(B)$ for blocks of finite groups. https://arxiv.org/abs/2503.16697

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