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Representations of Nilpotent Lie Groups and Their Applications: Volume 1, Part 1, Basic Theory and Examples

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Representations of Nilpotent Lie Groups and Their Applications: Volume 1, Part 1, Basic Theory and Examples Cover

 

Synopses & Reviews

Publisher Comments:

There has been no exposition of group representations and harmonic analysis suitable for graduate students for over twenty years. In this, the first of two projected volumes, the authors remedy the situation by surveying all the basic theory developed since the pioneering work of Kirillov in 1958, and consolidating more recent results. Topics covered include basic Kirillov theory, algorithms for parametrizing all coadjoint orbits. The authors have not only given here a modern account of all topics necessary for current research, but have also included many computed examples. This volume can serve then either as a handbook for specialists, with a complete, self-contained exposition of major results, or as a textbook suitable for graduate courses in harmonic analysis.

Synopsis:

The first exposition of group representations and harmonic analysis for graduates for over twenty years.

Table of Contents

Preface; 1. Elementary theory of nilpotent Lie groups and Lie algebras; 2. Kirillov theory; 3. Parametrization of coadjoint orbits; 4. Plancherel formula and related topics; 5. Discrete cocompact subgroups; Appendix; Bibliography; Symbol index; Subject index.

Product Details

ISBN:
9780521604956
Editor:
Bollobas, Bela
Publisher:
Cambridge University Press
Author:
Kirwan, F.
Author:
Greenleaf, Frederick P.
Author:
Katok, A.
Author:
Corwin, Laurence
Author:
Bollobas, B.
Author:
Corwin, Lawrence J.
Author:
Fulton, W.
Author:
Sarnak, P.
Location:
Cambridge
Subject:
Differential Equations
Subject:
Probability
Subject:
Algebra - Linear
Subject:
Mathematics-Linear Algebra
Subject:
Mathematical Analysis
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
18
Publication Date:
20040431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
280
Dimensions:
5.98x9.01x.63 in. .91 lbs.

Related Subjects

History and Social Science » Economics » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General

Representations of Nilpotent Lie Groups and Their Applications: Volume 1, Part 1, Basic Theory and Examples New Trade Paper
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Product details 280 pages Cambridge University Press - English 9780521604956 Reviews:
"Synopsis" by , The first exposition of group representations and harmonic analysis for graduates for over twenty years.
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