Non-representability of cohomology classes by bi-invariant forms (gauge and Kac-Moody groups)
type: Item
instance of: scholarly article
title: Non-representability of cohomology classes by bi-invariant forms (gauge and Kac-Moody groups)
zbMATH Open document ID: 0615.57025
DOI: 10.1007/BF01454970
author: Shrawan Kumar
published in: Communications in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The author gives a necessary topological condition on a cohomology class of any infinite-dimensional Lie group \(G\), modelled on a Fréchet space, to be representable by a biinvariant form on \(G\).
Mathematics Subject Classification ID: 57T10
Mathematics Subject Classification ID: 22E67
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 3996678
zbMATH Keywords: gauge groups
zbMATH Keywords: Kac-Moody groups
zbMATH Keywords: cohomology class
zbMATH Keywords: infinite-dimensional Lie group
zbMATH Keywords: Fréchet space
zbMATH Keywords: biinvariant form
reviewed by: Igor V. Chekalov
MaRDI profile type: Publication
cites work: The Yang-Mills equations over Riemann surfaces
cites work: Q3322237
cites work: On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
cites work: Connections with \(L^ p \)bounds on curvature
cites work: Q5651936
full work available at URL: https://doi.org/10.1007/bf01454970
OpenAlex ID: W2075674420
description: scientific article; zbMATH DE number 3996678