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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Hlavní autor: Ottesen, Johnny T.
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in physics. M, Monographs 27
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Edition sous un autre format:• Infinite dimensional groups and algebras in quantum physics, Johnny T. Ottesen, Berlin, Springer, 1995, 1 volume ([IX]-218 p.), Lecture notes in physics, 3-540-58914-7
• Infinite Dimensional Groups and Algebras in Quantum Physics, Texte imprimé, 9783662140529
• Infinite Dimensional Groups and Algebras in Quantum Physics, Texte imprimé, 9783662140536
Popis
Shrnutí: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.
Popis jednotky:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540491415 (PDF)
ISSN:1619-3407
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