Lie 2-groups from loop group extensions

URN to cite this document:: urn:nbn:de:bvb:355-epub-592839
DOI to cite this document:: 10.5283/epub.59283

Ludewig, Matthias

; Waldorf, Konrad

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 02 Oct 2024 05:58

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Abstract

We give a very simple construction of the string 2-group as a strict Fréchet Lie 2-group. The corresponding crossed module is defined using the conjugation action of the loop group on its central extension, which drastically simplifies several constructions previously given in the literature. More generally, we construct strict 2-group extensions for a Lie group from a central extension of its ...