Stable invariance of the restricted Lie algebra structure of Hochschild cohomology
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Stable invariance of the restricted Lie algebra structure of Hochschild cohomology. / Briggs, Benjamin; Degrassi, Lleonard Rubio Y.
I: Pacific Journal of Mathematics, Bind 321, Nr. 1, 2022, s. 45-73.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Stable invariance of the restricted Lie algebra structure of Hochschild cohomology
AU - Briggs, Benjamin
AU - Degrassi, Lleonard Rubio Y.
N1 - Publisher Copyright: © 2022 Mathematical Sciences Publishers
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - B-infinity algebra
KW - Gerstenhaber bracket
KW - Hochschild cohomology
KW - restricted Lie algebra
KW - singularity category
KW - stable equivalence of Morita type
U2 - 10.2140/pjm.2022.321.45
DO - 10.2140/pjm.2022.321.45
M3 - Journal article
AN - SCOPUS:85143116038
VL - 321
SP - 45
EP - 73
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
SN - 0030-8730
IS - 1
ER -
ID: 342967985