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arxiv: 1109.1344 · v4 · pith:LCDE2F4Fnew · submitted 2011-09-07 · 🧮 math-ph · math.CT· math.MP· math.RA

Lie 2-bialgebras

Chengming Bai , Yunhe Sheng , Chenchang Zhu This is my paper
classification 🧮 math-ph math.CTmath.MPmath.RA
keywords algebrasbialgebrasinftyattentioncoboundarycoefficientscohomologyconstruct
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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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