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Cohomology and deformation theory for operad with higher derivation.
- Source :
-
Journal of Pure & Applied Algebra . Dec2023, Vol. 227 Issue 12, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- The purpose of this paper is to give a cohomology theory for any operad equipped with a (higher) derivation. Our construction is based on an operadic level correspondence between higher derivations and sequences of derivations and the legitimacy of this indirect approach is justified by an illustration of how the formal deformation is controlled by the cohomology. The results are generalized to the bihom-context at the end of the paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COHOMOLOGY theory
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 227
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 164285299
- Full Text :
- https://doi.org/10.1016/j.jpaa.2023.107440