Third group cohomology and gerbes over Lie groups

DOI10.1016/j.geomphys.2016.06.015zbMath1352.22014arXiv1602.02565OpenAlexW2257310716WikidataQ115353036 ScholiaQ115353036MaRDI QIDQ314031

Jouko Mickelsson, Stefan Wagner

Publication date: 12 September 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02565

zbMATH Keywords

gauge theorytransgression mapcrossed modulegerbeabelian extensionautomorphisms of group extensionthird group cohomology

Mathematics Subject Classification ID

Cohomology of groups (20J06) Loop groups and related constructions, group-theoretic treatment (22E67) Homology and cohomology of Lie groups (57T10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items

Non-associative magnetic translations from parallel transport in projective Hilbert bundles ⋮ Extensions of lattice groups, gerbes and chiral fermions on a torus ⋮ A classification of equivariant gerbe connections ⋮ A 2-group construction from an extension of the 3-loop group \(\varOmega ^3G\) ⋮ Smooth 2-group extensions and symmetries of bundle gerbes

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