Didier Arnal

Representations of Solvable Lie Groups (eBook, PDF)

Basic Theory and Examples

• Format: PDF

Produktbeschreibung

The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of classical harmonic analysis, and as a tool for understanding various physical phenomena. Combining basic theory and new results, this monograph is a fresh and self-contained exposition of group representations and harmonic analysis on solvable Lie groups. Covering a range of topics from stratification methods for linear solvable actions in a finite-dimensional vector space, to complete proofs of essential elements of Mackey theory and a unified development of the main features of the orbit method for solvable Lie groups, the authors provide both well-known and new examples, with a focus on those relevant to contemporary applications. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 16. April 2020
• Englisch
• ISBN-13: 9781108651936
• Artikelnr.: 66180464

Autorenporträt

Didier Arnal is Emeritus Professor at the University of Burgundy and previously was Director of the Burgundy Mathematics Institute. He instituted and has worked over the past fifteen years on a cooperation project between France and Tunisia. He has authored papers on a diverse range of topics including deformation quantization, harmonic analysis, and algebraic structures.

Inhaltsangabe

1. Basic theory of solvable Lie algebras and Lie groups
2. Stratification of an orbit space
3. Unitary representations
4. Coadjoint orbits and polarizations
5. Irreducible unitary representations
6. Plancherel formula and related topics
List of notations
Bibliography
Index.