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Atiyah classes of three-dimensional real Lie bialgebras

  • School of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710119,China

Cite this: JUSTC, 2019, 49(5): 382-389
https://doi.org/10.3969/j.issn.0253-2778.2019.05.005
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  • Received Date: December 19, 2017
  • Revised Date: April 10, 2019
  • Published Date: May 30, 2019
    Abstract
  • Let (g,g*,γ) be a Lie bialgebra,where the map γ: g→gg is a 1-cocycle,that is, [γ]∈H(g,gg). 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.
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    2019 No. 5 Volume 49 Issue 5 PP. 382-389
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