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Representations of solvable Lie grou...

Arnal, Didier, (1946-)

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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, : c2020.,
面頁冊數:	xiii, 448 p. :form ;24 cm.
內容註:	Solvable Lie algebras and groups -- Stratification of an orbit space -- Unitary representations -- Coadjoint orbits and polarizations -- Irreducible unitary representations -- Plancherel formula and related topics.
標題:	Representations of Lie groups. -
ISBN:	9781108428095

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

Representations of solvable Lie groups :basic theory and examples /Didier Arnal, Bradley Currey. - 1st ed. - Cambridge ;Cambridge University Press,c2020. - xiii, 448 p. :form ;24 cm. - New mathematical monographs ;39. - New mathematical monographs ;39..

Includes bibliographical references (p. 440-444) and index.

Solvable Lie algebras and groups -- Stratification of an orbit space -- Unitary representations -- Coadjoint orbits and polarizations -- Irreducible unitary representations -- Plancherel formula and related topics.

"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."--Provided by publisher.

ISBN: 9781108428095GBP120.00

LCCN: 2019038659Subjects--Topical Terms:

631747
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."--Provided by publisher.
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