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  • 天元讲堂(6.4)Graded simple Lie algebras and graded simple representations
  • 浏览量:275 发布人:佚名 发布时间:2017-05-31 16:57:37

  • 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:64日下午1630-1730

    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 |. 

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