Cohomology and formal deformations of $n$-Hom–Lie color algebras
UDC 512.5 The aim of this paper is to provide a cohomology of $n$-Hom–Lie color algebras, in particular,  a cohomology governing one-parameter formal deformations.  Then we also study formal deformations of the $n$-Hom–Lie color algebras and introduce the notio...
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| Date: | 2023 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7238 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 512.5
The aim of this paper is to provide a cohomology of $n$-Hom–Lie color algebras, in particular,  a cohomology governing one-parameter formal deformations.  Then we also study formal deformations of the $n$-Hom–Lie color algebras and introduce the notion of Nijenhuis operator on a $n$-Hom–Lie color algebra, which may give rise to infinitesimally trivial $(n-1)$-order deformations.  Furthermore, in connection with Nijenhuis operators, we introduce and discuss the notion of product structure  on $n$-Hom–Lie color algebras. |
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| DOI: | 10.3842/umzh.v75i9.7238 |