Fundamentals of Infinite Dimensional Representation Theory
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A01=Raymond C. Fabec
advanced group representation theory
analytic group theory
Author_Raymond C. Fabec
Baire Property
Borel Function
Borel Isomorphism
Borel Set
Borel Space
Borel Structure
Borel Subset
Bounded Borel Functions
C* algebra techniques
Category=PBG
Category=PBW
Category=PHU
Closed Normal Subgroup
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Fourier-Stieltjes analysis
Hilbert Space
homogeneous space measures
operator algebra methods
Polish Space
quantum mechanics applications
Quasi-invariant Measure
Radon Nikodym Derivative
Standard Borel Space
Unitarily Equivalent
Von Neumann Algebra
Product details
- ISBN 9781584882121
- Dimensions: 156 x 234mm
- Publication Date: 28 Jun 2000
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents new and old results in a coherent and natural manner and studies a number of tools useful in various areas of this diversely applied subject.
From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert algebras, the author's self-contained treatment allows readers to choose from a wide variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text for those requiring a background in group-operator algebra representation theory, for careful readers, this monograph helps reveal not only the subject's utility, but also its inherent beauty.
Fabec, Raymond C.
