报告题目：Super-biderivations, triple derivations, triple homomorphisms and ($\sigma,\tau$)- derivations on perfect Lie superalgebras.

报告时间：2020年12月6日，9：30-10：30

报告地点：腾讯会议号: 217459942

报告人：陈良云教授（东北师范大学）

报告摘要：In this talk, we mainly introduce Super-biderivations, triple derivations, triple homomorphisms and ($\sigma,\tau$)-derivations on perfect Lie superalgebras. We first describe the intrinsic connections super-biderivations and centroids for Lie superalgebras. Every triple derivation of perfect Lie superalgebras with zero center is a derivation, and every triple derivation of their derivation algebras is an inner derivation. We prove that, homomorphisms, anti-homomorphisms, and sums of homomorphisms and anti-homomorphisms on Lie superalgebras are all triple homomorphisms. Moreover, we research some properties of ($\sigma,\tau$)-derivations, obtain the relationship between the ($\sigma,\tau$)-derivations and other generalized derivations. A left-multiplication structure concerned with ($\sigma,\tau$)- derivations can induces a left-symmetric superalgebra structure. We give a subgroup  G of  Aut(L) and research the interior of the G-derivations. Particularly, we calculate the corresponding Hilbert series when G is a cyclic group. This talk is a report on joint work with Yusi Fan, Liming Tang and Jia Zhou

报告人简介: 陈良云，东北师范大学数学与统计学院三级教授、博士生导师、博士后合作导师。南开大学理学博士、哈尔滨工业大学博士后、东京大学博士后。吉林省拔尖创新人才、吉林省教育厅新世纪优秀人才、长春市有突出贡献专家，省级精品课负责人。主要研究方向是李超代数及其应用，曾主持国家自然科学基金和省部级项目各4项，发表100余篇SCI论文。指导博士和博士后20余名，硕士50余名。指导的学位论文有2篇获吉林省优秀博士毕业论文和3篇获省优秀硕士毕业论文。担任《山东大学学报》(理学版)和《海南热带海洋学院学报》等期刊编委。