题 目: The exterior square of a Lie algebra
报告人: Peter Schneider (Munster大学教授)
时 间: 2011年3月25日(星期五) 下午 2:30-3:30
地 点: 闵行校区数学楼102报告厅
摘 要:
The Lie bracket of a Lie algebra $L$ induces a linear map $L \wedge L \rightarrow L$.When can the kernel of this map be generated by vectors of the form $x \wedge y$ with $[x,y] = 0$? This seemingly elementary question does not seem to be tractable by elementary methods. I will explain why a number theorist is interested in this question over fields of positive characteristics. I will also sketch joint work with O. Venjakob in which we solve this problem for Chevalley forms of semisimple Lie algebras.