报告题目：Graded simple Lie algebras and graded simple representations

报告人：Kaiming Zhao (Wilfrid Laurier University, Waterloo, Canada)

报告时间：6月4日下午16：30-17：30

报告地点：维格堂119

Abstract:
Let Q be an abelian group and K a field. We obtain that  any Q-graded simple Lie algebra G over K  is isomorphic to a loop algebra in case K has a primitive root of unity of order |Q|, if Q is finite, or K is algebraically closed and dim G< |K|. 
For Q-graded simple modules over any Q-graded Lie algebra G,  we obtain that any Q-graded simple module over Q-graded Lie algebra  G is isomorphic to a loop module in case K has a primitive root of unity of order |Q|, if Q is finite, or K is algebraically closed and dim G < |K |.