TY - JOUR T1 - Equivariant Cohomology and Deformation for Associative Algebras with a Derivation AU - Ren , Jingru JO - Communications in Mathematical Research VL - 1 SP - 45 EP - 58 PY - 2025 DA - 2025/03 SN - 41 DO - http://doi.org/10.4208/cmr.2024-0052 UR - https://global-sci.org/intro/article_detail/cmr/23930.html KW - Associative algebra, derivation, group action, equivariant cohomology, equivariant deformation. AB -

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.