Abstract
We introduce the notion of weak Lie 2-bialgebra. Roughly, a weak Lie 2-bialgebra is a pair of compatible 2-term L∞-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.
Original language | English (US) |
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Pages (from-to) | 59-68 |
Number of pages | 10 |
Journal | Journal of Geometry and Physics |
Volume | 68 |
DOIs | |
State | Published - Jun 2013 |
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- General Physics and Astronomy
- Geometry and Topology