Journal of University of Science and Technology of China ›› 2019, Vol. 49 ›› Issue (5): 382-389.DOI: 10.3969/j.issn.0253-2778.2019.05.005
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SHEN Dandan
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Abstract: Let (g,g*,γ) be a Lie bialgebra,where the map γ: g→gg is a 1 -cocycle,that is, [γ]∈H(g,gg). First, the definition of Atiyah class of a Lie bialgebra based on the map γ was given. Combining the classification results of three-dimensional real Lie bialgebras, Atiyah classes of these Lie bialgebras were computed and analyzed.
Key words: Lie bialgebras, Atiyah class, r-matrix
SHEN Dandan,QIAO Yu. Atiyah classes of three-dimensional real Lie bialgebras[J]. Journal of University of Science and Technology of China, 2019, 49(5): 382-389.
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URL: http://just-cn.ustc.edu.cn/EN/10.3969/j.issn.0253-2778.2019.05.005
http://just-cn.ustc.edu.cn/EN/Y2019/V49/I5/382
