Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (1): 21-26.

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Atiyah Classes of Three Dimensional Lie Bialgebras over C

LI Ping, QIAO Yu   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
  • Received:2017-12-29 Online:2019-01-26 Published:2019-02-07
  • Contact: QIAO Yu E-mail:yqiao@snnu.edu.cn

Abstract: Based on the structure classification of three dimensional Lie bialgebras over C, we calculated the Atiyah classes of all three dimensional Lie bialgebras over C by using a sufficient and necessary condition for the Atiyah class of a Lie bialgebra to be zero.

Key words:  , Lie bialgebra, Atiyah class, Lie algebra cohomology

CLC Number: 

  • O152.5