Representations of Solvable Lie Groups: Basic Theory and Examples

ISBN-13: 9781108428095 / Angielski / Twarda / 2020 / 478 str.

Didier Arnal; Bradley Currey III

Opis

A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.

Recenzje

'This monograph is a summary of a long career and experience of two great experts in their domain. Clear explanations of the basic theory make this an invaluable reference guide for graduate students as well as researchers. The concrete and example-based exposition is accessible to advanced graduate students and non-specialists.' Béchir Dali, zbMATH

Spis treści

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.