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Integrating -algebras

  • André Henriques (a1)
  • DOI: http://dx.doi.org/10.1112/S0010437X07003405
  • Published online: 01 July 2008
Abstract
Abstract

Given a Lie n-algebra, we provide an explicit construction of its integrating Lie n-group. This extends work done by Getzler in the case of nilpotent -algebras. When applied to an ordinary Lie algebra, our construction yields the simplicial classifying space of the corresponding simply connected Lie group. In the case of the string Lie 2-algebra of Baez and Crans, we obtain the simplicial nerve of their model of the string group.

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Compositio Mathematica
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  • EISSN: 1570-5846
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