报告时间:2026年9月11日(周五)上午 10:00-11:00
报告地点:苏州大学天赐庄校区精正楼306
报告人:陈良云 教授,东北师范大学
报告摘要:
In this talk, we utilize the notion of the reflexive hull to unify the concepts of local derivations, almost inner derivations, and local automorphisms. By investigating the algebraic structure of reflexive hulls, we prove the conjectures on the structures of local derivations and local automorphisms proposed by S. Ayupov, A. Elduque, and K. Kudaybergenov (J. Pure Appl. Algebra, 2023), as well as the conjecture concerning the structure of almost inner derivations proposed by D. Burde, K. Dekimpe, and B. Verbeke (J. Algebra Appl., 2018). Specifically, we prove that for any finite-dimensional algebra, the space of local derivations forms a Lie algebra, and the set of local automorphisms forms a Lie group whose Lie algebra is precisely the space of local derivations. Furthermore, we show that the space of almost inner derivations forms an ideal of the derivation algebra.
报告人简介:
陈良云,东北师范大学数学与统计永利皇宫 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,两门省级精品课负责人。主要研究方向是李超代数及其应用,主持国家自然科学基金5项(含3项面上项目)和省部级项目6项,在《Israel J. Math.》《Adv. Theor. Math. Phys.》《J. Noncommut. Geom.》《J. Algebra》《J. Pure Appl. Algebra》《Sci. China Math.》《P. Roy. Soc. Edinb. A》《Algebra Represent. Theory》《J. Math. Phys.》《J. Geom. Phys.》等期刊发表170余篇SCI论文,出版专著一部(科学出版社)。指导博士后12名、博士33名,硕士100余名。担任《山东大学学报》(理学版)、《海南热带海洋永利皇宫 学报》、《Symmetry》(中科院3区SCI,Guest Editor)、《PLOS One》(中科院3区SCI,编委)等10余家期刊编委,国家重点研发计划“数学和应用研究”评审组专家、吉林省自然科学基金评审组专家等。
邀请人:吕仁才