Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
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. Applicatio...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/280362 |
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| _version_ | 1832546750938742784 |
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| author | Rudolf Schmid |
| author_facet | Rudolf Schmid |
| author_sort | Rudolf Schmid |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9a11af8171ba478e8f23e4f0ee48c5bc |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9a11af8171ba478e8f23e4f0ee48c5bc2025-02-03T06:47:23ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/280362280362Infinite-Dimensional Lie Groups and Algebras in Mathematical PhysicsRudolf Schmid0Department of Mathematics, Emory University, Atlanta, GA 30032, USAWe 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.http://dx.doi.org/10.1155/2010/280362 |
| spellingShingle | Rudolf Schmid Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics Advances in Mathematical Physics |
| 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 |
| url | http://dx.doi.org/10.1155/2010/280362 |
| work_keys_str_mv | AT rudolfschmid infinitedimensionalliegroupsandalgebrasinmathematicalphysics |