Infinite-dimensional Lie groups and algebras in mathematical physics
type: Item
instance of: scholarly article
title: Infinite-dimensional Lie groups and algebras in mathematical physics
zbMATH Open document ID: 1201.81069
DOI: 10.1155/2010/280362
published in: Advances in Mathematical Physics
publication date: 2010-11-16T00:00:00Z
full work available at URL: https://eudml.org/doc/224369
review text: Summary: We give a review of infinite-dimensional Lie groups and algebras and show some applications and examples in mathematical physics. This includes diffeomorphism groups and their natural subgroups like volume-preserving and symplectic transformations, as well as gauge groups and loop groups. Applications include fluid dynamics, Maxwell's equations, and plasma physics. We discuss applications in quantum field theory and relativity (gravity) including BRST and supersymmetries.
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 83C47
Mathematics Subject Classification ID: 70S15
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 22E70
zbMATH DE Number: 5816356
Wikidata QID: Q58650043
author: R. Schmid
MaRDI profile type: Publication
OpenAlex ID: W2169990433
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