Journal
ADVANCES IN MATHEMATICAL PHYSICS
Volume 2010, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2010/280362
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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.
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