Unitary Representations of Solvable Lie Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821812629
Total Pages : 208 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Unitary Representations of Solvable Lie Groups by : Louis Auslander

Download or read book Unitary Representations of Solvable Lie Groups written by Louis Auslander and published by American Mathematical Soc.. This book was released on 1966 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unitary Representation Theory for Solvable Lie Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821812793
Total Pages : 132 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Unitary Representation Theory for Solvable Lie Groups by : Jonathan Paul Brezin

Download or read book Unitary Representation Theory for Solvable Lie Groups written by Jonathan Paul Brezin and published by American Mathematical Soc.. This book was released on 1968 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory of Solvable Lie Groups and Related Topics

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Author :
Publisher : Springer Nature
ISBN 13 : 3030820440
Total Pages : 620 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Representation Theory of Solvable Lie Groups and Related Topics by : Ali Baklouti

Download or read book Representation Theory of Solvable Lie Groups and Related Topics written by Ali Baklouti and published by Springer Nature. This book was released on 2021-10-08 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the book is to discuss the latest advances in the theory of unitary representations and harmonic analysis for solvable Lie groups. The orbit method created by Kirillov is the most powerful tool to build the ground frame of these theories. Many problems are studied in the nilpotent case, but several obstacles arise when encompassing exponentially solvable settings. The book offers the most recent solutions to a number of open questions that arose over the last decades, presents the newest related results, and offers an alluring platform for progressing in this research area. The book is unique in the literature for which the readership extends to graduate students, researchers, and beginners in the fields of harmonic analysis on solvable homogeneous spaces.

Unitary representations of solvable Lie-groups

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Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (923 download)

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Book Synopsis Unitary representations of solvable Lie-groups by :

Download or read book Unitary representations of solvable Lie-groups written by and published by . This book was released on 1971 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representations of Solvable Lie Groups and their Applications

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1108428096
Total Pages : 463 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Representations of Solvable Lie Groups and their Applications by : Didier Arnal

Download or read book Representations of Solvable Lie Groups and their Applications written by Didier Arnal and published by Cambridge University Press. This book was released on 2020-04-16 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.

Unitary Representations of Reductive Lie Groups

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Author :
Publisher : Princeton University Press
ISBN 13 : 9780691084824
Total Pages : 324 pages
Book Rating : 4.0/5 (848 download)

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Book Synopsis Unitary Representations of Reductive Lie Groups by : David A. Vogan

Download or read book Unitary Representations of Reductive Lie Groups written by David A. Vogan and published by Princeton University Press. This book was released on 1987-10-21 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.

Unitary Representations of Solvable Lie Groups

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Publisher :
ISBN 13 : 9780821812624
Total Pages : 199 pages
Book Rating : 4.8/5 (126 download)

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Book Synopsis Unitary Representations of Solvable Lie Groups by : Louis Auslander

Download or read book Unitary Representations of Solvable Lie Groups written by Louis Auslander and published by . This book was released on 1966-12-31 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unitary Representations of Solvable Lie Groups

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Publisher :
ISBN 13 : 9780608096032
Total Pages : 206 pages
Book Rating : 4.0/5 (96 download)

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Book Synopsis Unitary Representations of Solvable Lie Groups by : Louis Auslander

Download or read book Unitary Representations of Solvable Lie Groups written by Louis Auslander and published by . This book was released on with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unitary Representation Theory for Solvable Lie Groups

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Author :
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (52 download)

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Book Synopsis Unitary Representation Theory for Solvable Lie Groups by : Jonathan Brezin

Download or read book Unitary Representation Theory for Solvable Lie Groups written by Jonathan Brezin and published by . This book was released on 1968 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unitary Representation Theory of Exponential Lie Groups

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110874237
Total Pages : 213 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Unitary Representation Theory of Exponential Lie Groups by : Horst Leptin

Download or read book Unitary Representation Theory of Exponential Lie Groups written by Horst Leptin and published by Walter de Gruyter. This book was released on 2011-06-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Unitary Representation of Solvable Lie Groups

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Author :
Publisher :
ISBN 13 :
Total Pages : 199 pages
Book Rating : 4.:/5 (923 download)

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Book Synopsis Unitary Representation of Solvable Lie Groups by : Louis Auslander

Download or read book Unitary Representation of Solvable Lie Groups written by Louis Auslander and published by . This book was released on 1966 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Lie Groups and Lie Algebras

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521889693
Total Pages : 237 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis An Introduction to Lie Groups and Lie Algebras by : Alexander A. Kirillov

Download or read book An Introduction to Lie Groups and Lie Algebras written by Alexander A. Kirillov and published by Cambridge University Press. This book was released on 2008-07-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.

Harmonic Analysis on Exponential Solvable Lie Groups

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Publisher : Springer
ISBN 13 : 443155288X
Total Pages : 468 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Harmonic Analysis on Exponential Solvable Lie Groups by : Hidenori Fujiwara

Download or read book Harmonic Analysis on Exponential Solvable Lie Groups written by Hidenori Fujiwara and published by Springer. This book was released on 2014-12-05 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a detailed analysis of the objects listed above is difficult even for exponential solvable Lie groups, and it is often assumed that G is nilpotent. To make the situation clearer and future development possible, many concrete examples are provided. Various topics presented in the nilpotent case still have to be studied for solvable Lie groups that are not nilpotent. They all present interesting and important but difficult problems, however, which should be addressed in the near future. Beyond the exponential case, holomorphically induced representations introduced by Auslander and Kostant are needed, and for that reason they are included in this book.

Representations of Solvable Lie Groups

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1108682189
Total Pages : 463 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Representations of Solvable Lie Groups by : Didier Arnal

Download or read book Representations of Solvable Lie Groups written by Didier Arnal and published by Cambridge University Press. This book was released on 2020-04-16 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Unitary Representation Theory for Solvable Lie Groups

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Publisher :
ISBN 13 : 9780821812792
Total Pages : 122 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Unitary Representation Theory for Solvable Lie Groups by :

Download or read book Unitary Representation Theory for Solvable Lie Groups written by and published by . This book was released on 1968-12-30 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Representations of Solvable Lie Groups

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Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis On the Representations of Solvable Lie Groups by : Michael Anthony Erceg

Download or read book On the Representations of Solvable Lie Groups written by Michael Anthony Erceg and published by . This book was released on 1981 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noncompact Lie Groups and Some of Their Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9401110786
Total Pages : 493 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Noncompact Lie Groups and Some of Their Applications by : Elizabeth A. Tanner

Download or read book Noncompact Lie Groups and Some of Their Applications written by Elizabeth A. Tanner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr.