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Volume 41, Issue 1
Equivariant Cohomology and Deformation for Associative Algebras with a Derivation

Jingru Ren

DOI: 10.4208/cmr.2024-0052

Commun. Math. Res., 41 (2025), pp. 45-58.

Published online: 2025-03

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  • 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.

  • Keywords

Associative algebra, derivation, group action, equivariant cohomology, equivariant deformation.

  • AMS Subject Headings

16E40, 16S80, 17A36, 55N91

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-41-45, author = {Ren , Jingru}, title = {Equivariant Cohomology and Deformation for Associative Algebras with a Derivation}, journal = {Communications in Mathematical Research }, year = {2025}, volume = {41}, number = {1}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2024-0052}, url = {http://global-sci.org/intro/article_detail/cmr/23930.html} }
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.

Ren , Jingru. (2025). Equivariant Cohomology and Deformation for Associative Algebras with a Derivation. Communications in Mathematical Research . 41 (1). 45-58. doi:10.4208/cmr.2024-0052
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