A 2-group construction from an extension of the 3-loop group \(\varOmega ^3G\)
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Publication:2011191
DOI10.1007/s11005-019-01201-yzbMath1430.22027arXiv1810.00230OpenAlexW3098361592MaRDI QIDQ2011191
Ossi Niemimäki, Jouko Mickelsson
Publication date: 28 November 2019
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.00230
Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Cites Work
- Third group cohomology and gerbes over Lie groups
- Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
- Index theory, gerbes, and Hamiltonian quantization
- From loop groups to 2-groups
- Structure and Geometry of Lie Groups
- The Geometry of the Orbit Space for Non-Abelian Gauge Theories
- Quasi-periodic paths and a string 2-group model from the free loop group
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