当前的homlie代数

IF 0.3 Q4 MATHEMATICS

Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-30 DOI:10.12697/acutm.2022.26.08

Torkia Ben Jmaa, A. Makhlouf, N. Saadaoui

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引用次数: 1

摘要

本文研究了张量积上的homlie结构。特别地，我们考虑了当前的homlie代数并讨论了它们的表示。我们确定了当前海森堡homlie代数最小维数的忠实表示。此外，还研究了导数，包括广义导数和质心。此外，还讨论了现有homlie代数的上同调和扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Current Hom-Lie algebras

In this paper, we study Hom-Lie structures on tensor products. In particular, we consider current Hom-Lie algebras and discuss their representations. We determine faithful representations of minimal dimension of current Heisenberg Hom-Lie algebras. Moreover derivations, including generalized derivations, and centroids are studied. Furthermore, cohomology and extensions of current Hom-Lie algebras are also considered.

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来源期刊

Acta et Commentationes Universitatis Tartuensis de Mathematica MATHEMATICS-

CiteScore

0.60

自引率

33.30%

发文量