Equivariant Cohomology and Deformation for Associative Algebras with a Derivation

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.

Authors

Jun Ren (ORCID: https://orcid.org/0000-0002-9605-4542)

Institutions

Shenzhen Institute of Information Technology (CN)

Publication Details

Journal: Communications in Mathematical Research
Published: 2025-02-16
DOI: https://doi.org/10.4208/cmr.2024-0052
Primary Topic: Advanced Topics in Algebra
Type: article
Field-Weighted Citation Impact: 0.00

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article

Equivariant Cohomology and Deformation for Associative Algebras with a Derivation

Jun Ren

Feb 16, 2025

Communications in Mathematical Research

Advanced Topics in Algebra

article

Equivariant Cohomology and Deformation for Associative Algebras with a Derivation

Jun Ren

February 16, 2025article en

Abstract

Communications in Mathematical ResearchVol. 41(1)

Shenzhen Institute of Information Technology (CN)

Openalex Percentile: Top 94%

Advanced Topics in Algebra

DOI Open Access PDF OpenAlex

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Equivariant Cohomology and Deformation for Associative Algebras with a Derivation — Jun Ren · Communications in Mathematical Research (2025) | TGRS Research Map | TGRS