TY  - BOOK
AU  - Ottesen,Johnny T.
ED  - SpringerLink (Online service)
TI  - Infinite Dimensional Groups and Algebras in Quantum Physics
T2  - Lecture Notes in Physics Monographs,
SN  - 9783540491415
PY  - 1995///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Physics
KW  - Quantum theory
KW  - Quantum computing
KW  - Quantum Physics
KW  - Quantum Computing, Information and Physics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-49141-5
ER  -