Weak Lie 2-bialgebra
Mathematical Physics
2013-03-26 v3 math.MP
Rings and Algebras
Abstract
We introduce the notion of weak Lie 2-bialgebra. Roughly, a weak Lie 2-bialgebra is a pair of compatible 2-term -algebra structures on a vector space and its dual. The compatibility condition is described in terms of the big bracket. We prove that (strict) Lie 2-bialgebras are in one-one correspondence with crossed modules of Lie bialgebras.
Keywords
Cite
@article{arxiv.1109.2290,
title = {Weak Lie 2-bialgebra},
author = {Zhuo Chen and Mathieu Stienon and Ping Xu},
journal= {arXiv preprint arXiv:1109.2290},
year = {2013}
}
Comments
14 pages, LaTeX; typoes removed; references modified