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Cohomology and Formal Deformations of n-Hom–Lie Color Algebras.
- Source :
-
Ukrainian Mathematical Journal . Feb2024, Vol. 75 Issue 9, p1313-1339. 27p. - Publication Year :
- 2024
-
Abstract
- We provide a cohomology of n-Hom–Lie color algebras, in particular, a cohomology governing oneparameter formal deformations. Then we also study formal deformations of the n-Hom–Lie color algebras and introduce the notion of Nijenhuis operator on an n-Hom–Lie color algebra, which may give rise to infinitesimally trivial (n − 1)th-order deformations. Furthermore, in connection with Nijenhuis operators, we introduce and discuss the notion of product structure on n-Hom–Lie color algebras. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*COLOR
*COHOMOLOGY theory
Subjects
Details
- Language :
- English
- ISSN :
- 00415995
- Volume :
- 75
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Ukrainian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 175758731
- Full Text :
- https://doi.org/10.1007/s11253-024-02264-4