Infinite dimensional groups and algebras in quantum physics /
The representation theory of infinite-dimensional groups is an important tool for studying conformal field theory, problems in statistical mechanics, and string theory. Using the ideas of classical representation theory and basic facts of functional analysis, the author constructs the spin represent...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer-Verlag,
[1995]
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| Series: | Lecture notes in physics. Monographs ;
m27. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | The representation theory of infinite-dimensional groups is an important tool for studying conformal field theory, problems in statistical mechanics, and string theory. Using the ideas of classical representation theory and basic facts of functional analysis, the author constructs the spin representations of the infinitesimal orthogonal group and the metaplectic representation of an infinite-dimensional symplectic group. A constructive approach is chosen. The author discusses loop algebras and the Virasoro algebra and gives applications in the last chapter. The text addresses graduate students and is of considerable interest to researchers due to a novel approach closer to the traditional line of reasoning in quantum physics. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (218 pages) |
| Bibliography: | Includes bibliographical references (pages [211]-215) and index. |
| ISBN: | 9783540491415 (electronic bk.) 3540491414 (electronic bk.) |
| ISSN: | 0940-7677 ; |