Weak Lie 2-bialgebras

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 languageEnglish (US)
Pages (from-to)59-68
Number of pages10
JournalJournal of Geometry and Physics
StatePublished - Jun 2013

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • General Physics and Astronomy
  • Geometry and Topology


Dive into the research topics of 'Weak Lie 2-bialgebras'. Together they form a unique fingerprint.

Cite this