Lie 2-bialgebras

Physics – Mathematical Physics

Scientific paper

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28 pages

Scientific paper

In this paper, we study Lie 2-bialgebras, with special attention to
coboundary ones, with the help of the cohomology theory of $L_\infty$-algebras
with coefficients in $L_\infty$-modules. We construct examples of strict Lie
2-bialgebras from left-symmetric algebras and symplectic Lie algebras.

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