n-Hom-Lie色彩代数的同调与形式变形

IF 0.5 4区数学 Q3 MATHEMATICS

Ukrainian Mathematical Journal Pub Date : 2024-02-20 DOI:10.1007/s11253-024-02264-4

K. Abdaoui, R. Gharbi, S. Mabrouk, A. Makhlouf

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引用次数: 0

摘要

我们提供了 n-Hom-Lie颜色代数的同调，特别是关于单参数形式变形的同调。然后，我们还研究了 n-Hom-Lie颜色代数的形式变形，并引入了 n-Hom-Lie颜色代数上的尼延胡伊斯算子的概念，它可能引起无限微小的 (n - 1)th 阶变形。此外，结合尼亨休伊算子，我们还介绍并讨论了 n-Hom-Lie颜色代数上的乘积结构概念。

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

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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来源期刊

Ukrainian Mathematical Journal MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

107

审稿时长

4-8 weeks

期刊介绍： Ukrainian Mathematical Journal publishes articles and brief communications on various areas of pure and applied mathematics and contains sections devoted to scientific information, bibliography, and reviews of current problems. It features contributions from researchers from the Ukrainian Mathematics Institute, the major scientific centers of the Ukraine and other countries. Ukrainian Mathematical Journal is a translation of the peer-reviewed journal Ukrains’kyi Matematychnyi Zhurnal, a publication of the Institute of Mathematics of the National Academy of Sciences of Ukraine.