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On α-type (equivariant) cohomology of Hom-pre-Lie algebras.
- Source :
-
Communications in Algebra . 2024, Vol. 52 Issue 2, p479-499. 21p. - Publication Year :
- 2024
-
Abstract
- In this paper, we define a new cohomology theory for multiplicative Hom-pre-Lie algebras which controls deformations of Hom-pre-Lie algebra structure. This new cohomology is a natural one by considering the structure map. We develop equivariant cohomology theory for a Hom-pre-Lie algebra equipped with a finite group action by formulating a proper notion of coefficients system for the equivariant cohomology. We also study the associated formal deformation theory for Hom-pre-Lie algebras in the equivariant context. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COHOMOLOGY theory
*ALGEBRA
*FINITE groups
Subjects
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 52
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 175363399
- Full Text :
- https://doi.org/10.1080/00927872.2023.2243514