Flux Homomorphisms and Principal Bundles over Infinite Dimensional Manifolds

Neeb KH, Vizman C (2003)

Publication Type: Journal article, Original article

Publication year: 2003

Journal

Monatshefte für Mathematik Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 139

Pages Range: 309–333

Journal Issue: 4

DOI: 10.1007/s00605-002-0001-6

Abstract

Flux homomorphisms for closed vector-valued differential forms on infinite dimensional manifolds are defined. We extend the relation between the kernel of the flux for a closed 2-form ω and Kostant’s exact sequence associated to a principal bundle with curvature ω to the context of infinite-dimensional fiber and base space. We then use these results to construct central extensions of infinite dimensional Lie groups.

Authors with CRIS profile

Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

How to cite

APA:

Neeb, K.H., & Vizman, C. (2003). Flux Homomorphisms and Principal Bundles over Infinite Dimensional Manifolds. Monatshefte für Mathematik, 139(4), 309–333. https://doi.org/10.1007/s00605-002-0001-6

MLA:

Neeb, Karl Hermann, and Cornelia Vizman. "Flux Homomorphisms and Principal Bundles over Infinite Dimensional Manifolds." Monatshefte für Mathematik 139.4 (2003): 309–333.

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