ISSN 0253-2778

CN 34-1054/N

Open AccessOpen Access JUSTC

Atiyah classes of three-dimensional real Lie bialgebras

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2019.05.005
  • Received Date: 20 December 2017
  • Rev Recd Date: 11 April 2019
  • Publish Date: 31 May 2019
  • 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.
    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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