Affiliation:
1. Department of Mathematics, Emory University, Atlanta, GA 30032, USA
Abstract
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.
Subject
Applied Mathematics,General Physics and Astronomy
Reference60 articles.
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4. Translations of Mathematical Monographs,1997
Cited by
10 articles.
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