域Z_3 上三维李双代数的Atiyah class

Atiyah classes of three-dimensional Lie bialgebras over Z_3

摘要:

本文基于李代数上同调与李双代数的Atiyah class的相关理论计算了数域Z_3上所有三维李双代数的 Atiyah class.

Abstract:

Based on the theory of Lie algebra cohomology and the definition of the Atiyah class of a Lie bialgebra, Atiyah classes of all three-dimensional Lie bialgebras over Z_3 are calculated.