Ludewig, Matthias and Waldorf, Konrad (2024) Lie 2-groups from loop group extensions. JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 19 (4). pp. 597-633. ISSN 2193-8407, 1512-2891
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We give a very simple construction of the string 2-group as a strict Fr & eacute;chet 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 based loop group, under the assumption that this central extension is disjoint commutative. We show in particular that this condition is automatic in the case that the Lie group is semisimple and simply connected.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ALGEBRAS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jul 2025 06:33 |
| Last Modified: | 15 Jul 2025 06:33 |
| URI: | https://pred.uni-regensburg.de/id/eprint/63409 |
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