Infinite Dimensional Groups and Algebras in Quantum Physics [electronic resource] / by Johnny T. Ottesen.
Material type: TextSeries: Lecture Notes in Physics Monographs ; 27Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1995Description: IX, 218 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540491415Subject(s): Physics | Quantum theory | Quantum computing | Physics | Quantum Physics | Quantum Computing, Information and PhysicsAdditional physical formats: Printed edition:: No titleOnline resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK2726 |
The Spin Representation of the Infinite—Dimensional Orthogonal Group -- The Metaplectic Representation of the Infinite-Dimensional Symplectic Group -- Loop Algebras and the Virasoro Algebra -- Applications.
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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