Stable invariance of the restricted Lie algebra structure of Hochschild cohomology
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We show that the restricted Lie algebra structure on Hochschild cohomology is invariant under stable equivalences of Morita type between self-injective algebras. Thereby, we obtain a number of positive characteristic stable invariants, such as the p-toral rank of HH1(A, A). We also prove a more general result concerning Iwanaga–Gorenstein algebras, using a generalization of stable equivalences of Morita type. Several applications are given to commutative algebra and modular representation theory.
Original language | English |
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Journal | Pacific Journal of Mathematics |
Volume | 321 |
Issue number | 1 |
Pages (from-to) | 45-73 |
Number of pages | 29 |
ISSN | 0030-8730 |
DOIs | |
Publication status | Published - 2022 |
Bibliographical note
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© 2022 Mathematical Sciences Publishers
- B-infinity algebra, Gerstenhaber bracket, Hochschild cohomology, restricted Lie algebra, singularity category, stable equivalence of Morita type
Research areas
ID: 342967985