A crossed module representation of a 2-group constructed from the 3-loop group \(\Omega^3 G\)

DOI10.1007/s11005-024-01842-8MaRDI QIDQ6571073

Jouko Mickelsson

Publication date: 11 July 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum theory (81-XX) Category theory; homological algebra (18-XX)

Cites Work

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• Third group cohomology and gerbes over Lie groups
• Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
• Towards a Lie theory of locally convex groups
• Index theory, gerbes, and Hamiltonian quantization
• A 2-group construction from an extension of the 3-loop group \(\varOmega ^3G\)
• From loop groups to 2-groups
• Note on a previous paper entitled 'On adding relations to homotopy 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
• Scattering matrix in external field problems

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