Biderivations and strong commutativity-preserving maps on parabolic subalgebras of simple Lie algebras-东北师范大学数学与统计学院

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Biderivations and strong commutativity-preserving maps on parabolic subalgebras of simple Lie algebras

时间：2020年11月30日 21:49 点击数：

报告人：陈正新

报告地点：腾讯会议

报告时间：2020年12月03日星期四9:30-10:15

邀请人：陈良云

报告摘要：

A linear map on a Lie algebra over a field F with char(F)2 is called to be commuting (resp., skew-commuting) if (resp., ) for all , and to be strong commutativity-preserving if for all . Let be a finite-dimensional simple Lie algebra over an algebraically closed field F of characteristic 0, P a parabolic subalgebra of L. In this talk, firstly, we improve existing results about skew-symmetric biderivations on P by determining related linear commuting maps. Secondly, we classify the linear skew-commuting maps and the related symmetric biderivations on P, and so the biderivations of P are characterized. Finally, we determine the invertible linear strong commutativity-preserving maps of P.

会议网址：https://meeting.tencent.com/s/whLq0uhyUzKf

会议ID：468 594 187

会议密码：1203

主讲人简介：

陈正新，福建师范大学教授、博导，主要从事代数表示论与李代数结构方面的研究，在J. Algebra、Proc. Amer. Math. Soc.、Sci. China Ser. A、Comm. Algebra、Linear Algebra Appl.、Linear Multilinear Algebra等期刊发表SCI论文30余篇，主持国家自然科学基金面上项目、青年项目、福建省自然科学基金、福建省教育厅高校青年重点基金等。