On the Lie algebra structure of integrable derivations
| Autor: | Briggs, Benjamin, Degrassi, Lleonard Rubio y |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | Building on work of Gerstenhaber, we show that the space of integrable derivations on an Artin algebra $A$ forms a Lie algebra, and a restricted Lie algebra if $A$ contains a field of characteristic $p$. We deduce that the space of integrable classes in $\HH^1(A)$ forms a (restricted) Lie algebra that is invariant under derived equivalences, and under stable equivalences of Morita type between self-injective algebras. We also provide negative answers to questions about integrable derivations posed by Linckelmann and by Farkas, Geiss and Marcos. Comment: 17 pages, comments welcome |
| Databáze: | arXiv |
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