From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets

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Jurco, Branislav;
  • Related identifiers: doi: 10.1016/j.geomphys.2012.09.002
  • Subject: Mathematical Physics | Mathematics - Differential Geometry
    arxiv: Mathematics::Algebraic Topology | Mathematics::Category Theory

Let g be a simplicial Lie algebra with Moore complex Ng of length k. Let G be the simplicial Lie group integrating g, which is simply connected in each simplicial level. We use the 1-jet of the classifying space of G to construct, starting from g, a Lie k-algebra L. The... View more
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