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✦   LIBER   ✦

Infinite dimensional groups and algebras in quantum physics

✍ Scribed by Johnny T. Ottesen

Book ID
127418476
Publisher
Springer-Verlag
Year
1995
Tongue
English
Weight
1 MB
Series
Lecture notes in physics. Monographs New series m m27
Edition
1
Category
Library
City
Berlin; New York
ISBN-13
9783540589143

No coin nor oath required. For personal study only.

✦ Synopsis

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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