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Cohomology and Formal Deformations of n-Hom–Lie Color Algebras

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. University of Sfax, Faculty of Sciences Sfax, Sfax, Tunisia

    K. Abdaoui & R. Gharbi

  2. Université de Haute Alsace, IRIMAS—Département de Mathématiques, Mulhouse, France

    R. Gharbi & A. Makhlouf

  3. University of Gafsa, Faculty of Sciences, Gafsa, Tunisia

    S. Mabrouk

Authors
  1. K. Abdaoui
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  2. R. Gharbi
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  3. S. Mabrouk
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  4. A. Makhlouf
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Correspondence to A. Makhlouf.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, No. 9, pp. 1155–1177, September, 2023. Ukrainian DOI: https://doi.org/10.37863/umzh.v75i9.7238.

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Abdaoui, K., Gharbi, R., Mabrouk, S. et al. Cohomology and Formal Deformations of n-Hom–Lie Color Algebras. Ukr Math J 75, 1313–1339 (2024). https://doi.org/10.1007/s11253-024-02264-4

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  • DOI: https://doi.org/10.1007/s11253-024-02264-4

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