复数域上三维李双代数的Atiyah Class

Atiyah Classes of Three Dimensional Lie Bialgebras over ■

基于复数域上三维李双代数的结构分类,利用李双代数Atiyah class为零的充要条件,计算所有复数域上三维李双代数的Atiyah class.

Based on the structure classification of three dimensio nal 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.