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Equivariant Cohomology and Deformation for Associative Algebras with a Derivation

Equivariant Cohomology and Deformation for Associative Algebras with a Derivation

Year:    2025

Author:    Jingru Ren

Communications in Mathematical Research , Vol. 41 (2025), Iss. 1 : pp. 45–58

Abstract

We introduce finite group action for associative algebras equipped with a derivation (that is, AssDer pairs) and equivariant cohomology for such algebraic object. Next, we discuss equivariant deformation theory and study its relation with the equivariant cohomology.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmr.2024-0052

Communications in Mathematical Research , Vol. 41 (2025), Iss. 1 : pp. 45–58

Published online:    2025-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Associative algebra derivation group action equivariant cohomology equivariant deformation.

Author Details

Jingru Ren