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Lie 2-bialgebras

Mathematical Physics 2013-05-03 v4 Category Theory math.MP Rings and Algebras

Abstract

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

Keywords

Cite

@article{arxiv.1109.1344,
  title  = {Lie 2-bialgebras},
  author = {Chengming Bai and Yunhe Sheng and Chenchang Zhu},
  journal= {arXiv preprint arXiv:1109.1344},
  year   = {2013}
}

Comments

22 pages

R2 v1 2026-06-21T19:00:51.732Z