Introduction to the Representation Theory of Compact and Locally Compact Groups
Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.
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Compact groups and Haar measures p
Representations general constructions
A geometrical application
Finitedimensional representations of compact groups
Decomposition of the regular representation
Convolution Plancherel formula Fourier inversion
Characters and group algebras
Induced representations and FrobeniusWeil reciprocity
l2 Invariant measures on locally compact groups
l3 Continuity properties of representations
l4 Representations of G and of LG
l6 Discrete series of locally compact groups
l7 The discrete series of Sl2K
l8 The principal series of Sl2R
l9 Decomposition along a commutative subgroup
Type I groups
Groups with few finitedimensional representations lll
2l Getting near an abstract Plancherel formula
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Cambridge University Press. 978-0-521-28975-7 - Introduction to the Representation Theory of Compact and Locally. Compact Groups. Alain Robert. Excerpt ...
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and Brown carefully discusses what is known at this time. The ...
64. BOOK REVIEWS. and Brown carefully discusses what is known at this time. The final chapter is. devoted to the construction of complete resolutions for ...
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STAT 260 Fall 2007 Homepage
Introduction to the representation theory of compact and locally compact groups. Author: Robert, Alain. Published: Cambridge University Press, 1983 ...
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