Current Algebras and Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1989
|
| Schriftenreihe: | Plenum Monographs in Nonlinear Physics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode |
| Beschreibung: | 1 Online-Ressource (XVII, 313 p) |
| ISBN: | 9781475702958 9781475702972 |
| DOI: | 10.1007/978-1-4757-0295-8 |
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| 245 | 1 | 0 | |a Current Algebras and Groups |c by Jouko Mickelsson |
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| 490 | 0 | |a Plenum Monographs in Nonlinear Physics | |
| 500 | |a Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode | ||
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Datensatz im Suchindex
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| author | Mickelsson, Jouko |
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| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1 |
| dewey-search | 530.1 |
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| discipline | Physik |
| doi_str_mv | 10.1007/978-1-4757-0295-8 |
| format | Electronic eBook |
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| id | DE-604.BV042412248 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:50Z |
| institution | BVB |
| isbn | 9781475702958 9781475702972 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027847741 |
| oclc_num | 863982678 |
| open_access_boolean | |
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| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource (XVII, 313 p) |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1989 |
| publishDateSearch | 1989 |
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| publisher | Springer US |
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| series2 | Plenum Monographs in Nonlinear Physics |
| spelling | Mickelsson, Jouko Verfasser aut Current Algebras and Groups by Jouko Mickelsson Boston, MA Springer US 1989 1 Online-Ressource (XVII, 313 p) txt rdacontent c rdamedia cr rdacarrier Plenum Monographs in Nonlinear Physics Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode Physics Theoretical, Mathematical and Computational Physics Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Stromalgebra (DE-588)4264242-5 gnd rswk-swf Stromalgebra (DE-588)4264242-5 s Gruppentheorie (DE-588)4072157-7 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-0295-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mickelsson, Jouko Current Algebras and Groups Physics Theoretical, Mathematical and Computational Physics Gruppentheorie (DE-588)4072157-7 gnd Stromalgebra (DE-588)4264242-5 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4264242-5 |
| title | Current Algebras and Groups |
| title_auth | Current Algebras and Groups |
| title_exact_search | Current Algebras and Groups |
| title_full | Current Algebras and Groups by Jouko Mickelsson |
| title_fullStr | Current Algebras and Groups by Jouko Mickelsson |
| title_full_unstemmed | Current Algebras and Groups by Jouko Mickelsson |
| title_short | Current Algebras and Groups |
| title_sort | current algebras and groups |
| topic | Physics Theoretical, Mathematical and Computational Physics Gruppentheorie (DE-588)4072157-7 gnd Stromalgebra (DE-588)4264242-5 gnd |
| topic_facet | Physics Theoretical, Mathematical and Computational Physics Gruppentheorie Stromalgebra |
| url | https://doi.org/10.1007/978-1-4757-0295-8 |
| work_keys_str_mv | AT mickelssonjouko currentalgebrasandgroups |