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Lie 2-bialgebras

arXiv:1109.1344 · doi:10.1007/s00220-013-1712-3

Abstract

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.

22 pages