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Representations of solvable Lie groups = basic theory and examples /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Representations of solvable Lie groups/ Didier Arnal, Bradley Currey.
其他題名:	basic theory and examples /
作者:	Arnal, Didier,
其他作者:	Currey, Bradley,
出版者:	Cambridge :Cambridge University Press, : 2020.,
面頁冊數:	xiii, 448 p. :ill., digital ; : 24 cm.;
附註:	Title from publisher's bibliographic system (viewed on 22 Apr 2020).
標題:	Representations of Lie groups. -
電子資源:	https://doi.org/10.1017/9781108552288
ISBN:	9781108552288

Representations of solvable Lie groups = basic theory and examples /
Arnal, Didier,1946-

Representations of solvable Lie groupsbasic theory and examples /[electronic resource] :Didier Arnal, Bradley Currey. - Cambridge :Cambridge University Press,2020. - xiii, 448 p. :ill., digital ;24 cm. - New mathematical monographs ;39. - New Mathematical Monographs ;39..

Title from publisher's bibliographic system (viewed on 22 Apr 2020).

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.

ISBN: 9781108552288Subjects--Topical Terms:

1211835
Representations of Lie groups.

LC Class. No.: QA387 / .A76 2020

Dewey Class. No.: 512.482

Representations of solvable Lie groups = basic theory and examples /
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520 $a 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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