Johnny T. Ottesen

Infinite Dimensional Groups and Algebras in Quantum Physics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 218
• Erscheinungstermin: 11. September 2008
• Englisch
• ISBN-13: 9783540491415
• Artikelnr.: 53383786

Autorenporträt

On the basis of classical representation theory and basic facts of functional analysis the author contructs the spin representations of the infinitesimal orthogonal group and the metaplectic representation of an infinite-dimensional symplectic group in a constructive novel approach. The text addresses graduate students and researchers.

Inhaltsangabe

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.