Central extensions of current groups

DOI10.1007/s00208-003-0425-xzbMath1029.22025OpenAlexW2005821260MaRDI QIDQ1407663

Peter Maier, Karl-Hermann Neeb

Publication date: 16 September 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-003-0425-x

zbMATH Keywords

obstructionloop groupcocyclecentral extensioninfinite-dimensional Lie groupcurrent groupuniversal central extensionmapping groupautomorphic actionperiod groupperiod homomorphismproduct type

Mathematics Subject Classification ID

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 (9)

Categorified central extensions, étale Lie 2-groups and Lie's third theorem for locally exponential Lie algebras ⋮ The path group construction of Lie group extensions ⋮ Semibounded unitary representations of double extensions of Hilbert-loop groups ⋮ Lie Groups of Bundle Automorphisms and Their Extensions ⋮ Gravitational edge modes, coadjoint orbits, and hydrodynamics ⋮ Towards a Lie theory of locally convex groups ⋮ Quasi-periodic paths and a string 2-group model from the free loop group ⋮ Central extensions of groups of sections ⋮ Central extensions of infinite-dimensional Lie groups

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