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Representations of Solvable Lie Groups

Basic Theory and Examples
Buch | Hardcover
478 Seiten
2020
Cambridge University Press (Verlag)
978-1-108-42809-5 (ISBN)
CHF 246,10 inkl. MwSt
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This monograph answers the need for a unified account of the basic theory of unitary group representations, combined with new results, in a style that is broadly accessible for both graduate students and researchers.
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.

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. Bradley Currey III is a professor at Saint Louis University (SLU), Missouri. Formerly the Director of Graduate Studies in Mathematics at SLU, he has also served as a co-organizer in the Mathematics Research Communities program of the American Mathematical Society. Much of his recent research has explored the interplay of the theory of solvable Lie groups and applied harmonic analysis.

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.

Erscheinungsdatum
Reihe/Serie New Mathematical Monographs
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 157 x 235 mm
Gewicht 760 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
ISBN-10 1-108-42809-6 / 1108428096
ISBN-13 978-1-108-42809-5 / 9781108428095
Zustand Neuware
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