Covariant Central Extensions of Gauge Lie Algebras

B. Janssens, Karl-Hermann Neeb

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

Motivated by positive energy representations , we classify those continuous central extensions of the compactly supported gauge Lie algebra that are covariant under a 1-parameter group of transformations of the base manifold.
Original languageEnglish
Title of host publicationStochastic Geometric Mechanics
Editors Albeverio, Cruzeiro, Holm
PublisherSpringer
Pages101-114
Number of pages14
ISBN (Electronic)978-3-319-63453-1
ISBN (Print)978-3-319-63452-4
DOIs
Publication statusPublished - 2017
Externally publishedYes

Publication series

NameProceeding in mathematics & statistics
Volume202

Keywords

  • Infinite dimensional Lie group
  • Gauge transformation
  • Unitary representation
  • Positive energy
  • Central extension

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