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Representations of Solvable Lie Groups

Abstract : 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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Ouvrage (y compris édition critique et traduction)
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02570902
Contributeur : Imb - Université de Bourgogne <>
Soumis le : mardi 12 mai 2020 - 14:44:33
Dernière modification le : mercredi 13 mai 2020 - 01:35:32

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Didier Arnal, Bradley Currey. Representations of Solvable Lie Groups. Cambridge University Press, 39, 2020, New Mathematical Monographs, ⟨10.1017/9781108552288⟩. ⟨hal-02570902⟩

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