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Unitary Representation Theory of Exponential Lie Groups : De Gruyter Expositions in Mathematics - Horst Leptin

Unitary Representation Theory of Exponential Lie Groups

De Gruyter Expositions in Mathematics

Hardcover

Published: 1st November 1994
For Ages: 22+ years old
Ships: 7 to 10 business days
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The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Ceara, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany
Katrin Wendland, University of Freiburg, Germany

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2018)
Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Botjan Gabrovek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Preface
Solvable Lie Groups, Representationsp. 1
Bases in solvable Lie algebras, exponential groupsp. 1
Invariant measures, group algebrasp. 9
Induced representationsp. 15
The dual of an exponential groupp. 33
Kernels of restricted and induced representationsp. 52
Smooth functions and kernel operatorsp. 65
Variable Structuresp. 99
Variable structuresp. 99
Unitary representations of variable groups and algebrasp. 103
Variable Lie groups and Lie algebrasp. 114
The Duals of Exponential Variable Lie Groupsp. 133
The continuity of the Kirillov mapp. 133
The continuity of the inverse Kirillov map, part Ip. 140
The continuity of the inverse Kirillov map, part IIp. 178
Definitions and Symbolsp. 197
Referencesp. 199
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110139389
ISBN-10: 3110139383
Series: De Gruyter Expositions in Mathematics
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 210
Published: 1st November 1994
Publisher: De Gruyter
Country of Publication: DE
Dimensions (cm): 24.0 x 17.0  x 1.91
Weight (kg): 0.59