On the solvability of the Lie algebra $\mathrm{HH}^1(B)$ for blocks of finite groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916684983435264 |
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| author | Linckelmann, Markus Wang, Jialin |
| author_facet | Linckelmann, Markus Wang, Jialin |
| contents | 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 $B$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16697 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the solvability of the Lie algebra $\mathrm{HH}^1(B)$ for blocks of finite groups Linckelmann, Markus Wang, Jialin Representation Theory 16E40, 16G30, 17B30, 20J06 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 $B$. |
| title | On the solvability of the Lie algebra $\mathrm{HH}^1(B)$ for blocks of finite groups |
| topic | Representation Theory 16E40, 16G30, 17B30, 20J06 |
| url | https://arxiv.org/abs/2503.16697 |