Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (4): 860-862.

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An Infinite Dimensional Weak Co-split Lie Algebra

WU Yihan, ZHANG Jiao   

  1. Department of Mathematics, Shanghai University, Shanghai 200444, China
  • Received:2021-01-18 Online:2021-07-26 Published:2021-07-26

Abstract: By constructing a Lie coalgebra structurre of an infinite dimensional Lie algebra Witt algebra over the complex field C, we solved the problem whether the infinite dimensional Lie algebra Witt algebra was a weak co-split Lie algebra.

Key words: Lie algebra, weak co-split, Witt algebra

CLC Number: 

  • O152.5