Equivariant Cohomology and Deformation for Associative Algebras with a Derivation
DOI:
https://doi.org/10.4208/cmr.2024-0052Keywords:
Associative algebra, derivation, group action, equivariant cohomology, equivariant deformation.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.