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SEMINARS
Graded simple Lie algebras and graded simple representations
时间  Datetime
2017-05-23 16:00 — 17:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Kaiming Zhao
单位  Affiliation
Wilfrid Laurier University, Waterloo, Canada
邀请人  Host
蒋启芬
报告摘要  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 |.