5 Scopus citations

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 languageEnglish (US)
Pages (from-to)59-68
Number of pages10
JournalJournal of Geometry and Physics
Volume68
DOIs
StatePublished - Jun 1 2013

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

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