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Advances in Mathematical Physics
Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
Applied Mathematics
General Physics and Astronomy
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spelling Schmid, Rudolf 1687-9120 1687-9139 Hindawi Limited Applied Mathematics General Physics and Astronomy http://dx.doi.org/10.1155/2010/280362 <jats:p>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.</jats:p> Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics Advances in Mathematical Physics
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title Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_unstemmed Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_full Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_fullStr Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_full_unstemmed Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_short Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_sort infinite-dimensional lie groups and algebras in mathematical physics
topic Applied Mathematics
General Physics and Astronomy
url http://dx.doi.org/10.1155/2010/280362
publishDate 2010
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description <jats:p>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.</jats:p>
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spelling Schmid, Rudolf 1687-9120 1687-9139 Hindawi Limited Applied Mathematics General Physics and Astronomy http://dx.doi.org/10.1155/2010/280362 <jats:p>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.</jats:p> Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics Advances in Mathematical Physics
spellingShingle Schmid, Rudolf, Advances in Mathematical Physics, Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics, Applied Mathematics, General Physics and Astronomy
title Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_full Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_fullStr Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_full_unstemmed Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_short Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
title_sort infinite-dimensional lie groups and algebras in mathematical physics
title_unstemmed Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
topic Applied Mathematics, General Physics and Astronomy
url http://dx.doi.org/10.1155/2010/280362