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Hom-Lie superalgebras
澳门新葡8455最新网站:2016年11月22日 17:12 点击数:

报告人:关宝玲

报告地点:澳门新葡8455最新网站104室

报告澳门新葡8455最新网站:2016年11月26日星期六08:30-09:15

邀请人:

报告摘要:

In the talk, we first study the relationships between a Hom-Lie superalgebra and its induced 3-ary-Hom-Lie superalgebra. We provide an overview of the theory and explore the structure properties such as ideals, center, derived series, solvability, nilpotency, central extensions and cohomology.

We research Hom-Lie superalgebras. We  first give a sufficient and necessary condition of Hom-Lie superalgebras. We then revisit representations of Hom-Lie superalgebras, and show that there are a series of coboundary operators. We also introduce the notion of an omni-Hom-Lie superalgebra associated to a vector space and an even invertible linear map. We show that regular Hom-Lie superalgebra structures on a vector space can be characterized by Dirac structures in the corresponding omni-Hom-Lie superalgebra, and the underlying algebraic structure of the omni-Hom-Lie superalgebra is a Hom-Leibniz superalgebra.

主讲人概况:

关宝玲,齐齐哈尔大学教授,东北师范大学博士、吉林大学博士后,在J. Pure Appl. Algebra等杂志发表SCI论文5篇,主持多项省级项目。

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