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Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
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Zeitschriftentitel: | Advances in Mathematical Physics |
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Personen und Körperschaften: | |
In: | Advances in Mathematical Physics, 2010, 2010, S. 1-35 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
Hindawi Limited
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Schlagwörter: |
author_facet |
Schmid, Rudolf Schmid, Rudolf |
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author |
Schmid, Rudolf |
spellingShingle |
Schmid, Rudolf Advances in Mathematical Physics Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics Applied Mathematics General Physics and Astronomy |
author_sort |
schmid, rudolf |
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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10.1155/2010/280362 |
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Hindawi Limited, 2010 |
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Hindawi Limited, 2010 |
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1687-9120 1687-9139 |
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1687-9120 1687-9139 |
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English |
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2010 |
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Hindawi Limited |
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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 |
physical |
1-35 |
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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author | Schmid, Rudolf |
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container_title | Advances in Mathematical Physics |
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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 |