Infinite dimensional groups and algebras in quantum physics
By: Johnny T. Ottesen.
Series: Lecture notes in physics.; m27
Publisher: Springer-Verlag
Published: 1995
Place of publication: Berlin; New York
Language: eng
Number of pages: 218
Subjects: Quantum field theory.; Algebra.; Representations of groups.
Description: 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.
Notes: Includes bibliographical references (p. [211]-215) and index.