Cohomology for Deformation maps of quasi-twilled Lie triple systems
数学专题报告
报告题目(Title)：Cohomology for Deformation maps of quasi-twilled Lie triple systems
报告人(Speaker)：赵嘉 博士 (南通大学数学与统计学院)
地点(Place)：新主楼1223报告厅
时间(Time)：2025年1月9日10:00-11:00
邀请人(Inviter)：刘玉明
报告摘要
In this paper, we provide a unified approach to study cohomologies and deformations of various kinds of operators on Lie triple systems such as r-matrices, relative Rota-Baxter operators, Reynolds operators etc. For this purpose, we examine two kinds of deformation map on quasi-twilled Lie triple systems. A quasi-twilled Lie triple system can be decomposed into two subspaces, each of which is a subalgebra. Furthermore, we construct controlling algebras of two kinds of deformation maps, which recover those of several kinds of operators on Lie triple systems.
