Non Spherical Principal Series Representations Of A Semisimple Lie Group

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Non-Spherical Principal Series Representations of a Semisimple Lie Group

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Author : Alfred Magnus
Publisher : American Mathematical Soc.
ISBN 13 : 0821822160
Total Pages : 62 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Non-Spherical Principal Series Representations of a Semisimple Lie Group by : Alfred Magnus

Download or read book Non-Spherical Principal Series Representations of a Semisimple Lie Group written by Alfred Magnus and published by American Mathematical Soc.. This book was released on 1979 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-spherical principal series representations of a real semisimple Lie group are studied. These are representations, induced by a one-dimensional representation of a minimal parabolic subgroup, which have a one-dimensional subspace left stable by a maximal compact subgroup of the original group G. Necessary and sufficient conditions for such a representation to be irreducible, or to be cyclic, are found, in terms of parameters determined by certain rank one subgroups of G. A sufficient condition for such a representation to be unitary is found, and the condition is shown to be necessary in the rank one case.

Non-Spherical Principal Series Representations of a Semisimple Lie Group

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Author : Alfred Magnus
Publisher :
ISBN 13 : 9780608092157
Total Pages : 58 pages
Book Rating : 4.0/5 (921 download)

Book Synopsis Non-Spherical Principal Series Representations of a Semisimple Lie Group by : Alfred Magnus

Download or read book Non-Spherical Principal Series Representations of a Semisimple Lie Group written by Alfred Magnus and published by . This book was released on 1976 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noncompact Lie Groups and Some of Their Applications

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

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.

Non-spherical Principal Series Represenatations of a Semisimple Lie Group

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Author : Alfred Magnus
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (884 download)

Book Synopsis Non-spherical Principal Series Represenatations of a Semisimple Lie Group by : Alfred Magnus

Download or read book Non-spherical Principal Series Represenatations of a Semisimple Lie Group written by Alfred Magnus and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lie Group Representations III

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Author : R. Herb
Publisher : Springer
ISBN 13 : 3540389369
Total Pages : 465 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Lie Group Representations III by : R. Herb

Download or read book Lie Group Representations III written by R. Herb and published by Springer. This book was released on 2006-11-14 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Orbit Method in Representation Theory

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Author : Dulfo
Publisher : Springer Science & Business Media
ISBN 13 : 1461244862
Total Pages : 234 pages
Book Rating : 4.4/5 (612 download)

Book Synopsis The Orbit Method in Representation Theory by : Dulfo

Download or read book The Orbit Method in Representation Theory written by Dulfo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book contains the proceedings of a conference held from August 29 to September 2, 1988, at the University of Copenhagen, about "the orbit method in representation theory." It contains ten articles, most of which are original research papers, by well-known mathematicians in the field, and it reflects the fact that the orbit method plays an important role in the representation theory of semisimple Lie groups, solvable Lie groups, and even more general Lie groups, and also in the theory of enveloping algebras.

The Selected Works of Sigurdur Helgason

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Author : Sigurdur Helgason
Publisher : American Mathematical Soc.
ISBN 13 : 0821847538
Total Pages : 765 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis The Selected Works of Sigurdur Helgason by : Sigurdur Helgason

Download or read book The Selected Works of Sigurdur Helgason written by Sigurdur Helgason and published by American Mathematical Soc.. This book was released on 2009 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects the articles that cover invariant differential operators, geometric properties of solutions to differential equations on symmetric spaces, double fibrations in integral geometry, spherical functions and spherical transforms, duality for symmetric spaces, representation theory, and the Fourier transform on G/K.

Notices of the American Mathematical Society

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Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 924 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1990 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noncommutative Harmonic Analysis

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Author : Patrick Delorme
Publisher : Springer Science & Business Media
ISBN 13 : 081768204X
Total Pages : 518 pages
Book Rating : 4.8/5 (176 download)

Book Synopsis Noncommutative Harmonic Analysis by : Patrick Delorme

Download or read book Noncommutative Harmonic Analysis written by Patrick Delorme and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.

Symmetry: Representation Theory and Its Applications

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Author : Roger Howe
Publisher : Springer
ISBN 13 : 1493915908
Total Pages : 562 pages
Book Rating : 4.4/5 (939 download)

Book Synopsis Symmetry: Representation Theory and Its Applications by : Roger Howe

Download or read book Symmetry: Representation Theory and Its Applications written by Roger Howe and published by Springer. This book was released on 2015-01-04 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nolan Wallach's mathematical research is remarkable in both its breadth and depth. His contributions to many fields include representation theory, harmonic analysis, algebraic geometry, combinatorics, number theory, differential equations, Riemannian geometry, ring theory, and quantum information theory. The touchstone and unifying thread running through all his work is the idea of symmetry. This volume is a collection of invited articles that pay tribute to Wallach's ideas, and show symmetry at work in a large variety of areas. The articles, predominantly expository, are written by distinguished mathematicians and contain sufficient preliminary material to reach the widest possible audiences. Graduate students, mathematicians, and physicists interested in representation theory and its applications will find many gems in this volume that have not appeared in print elsewhere. Contributors: D. Barbasch, K. Baur, O. Bucicovschi, B. Casselman, D. Ciubotaru, M. Colarusso, P. Delorme, T. Enright, W.T. Gan, A Garsia, G. Gour, B. Gross, J. Haglund, G. Han, P. Harris, J. Hong, R. Howe, M. Hunziker, B. Kostant, H. Kraft, D. Meyer, R. Miatello, L. Ni, G. Schwarz, L. Small, D. Vogan, N. Wallach, J. Wolf, G. Xin, O. Yacobi.

Representation Theory Of Lie Groups And Lie Algebras - Proceedings Of Fuji-kawaguchiko Conference

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Author : Takeshi Kawazoe
Publisher : World Scientific
ISBN 13 : 981455443X
Total Pages : 256 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Representation Theory Of Lie Groups And Lie Algebras - Proceedings Of Fuji-kawaguchiko Conference by : Takeshi Kawazoe

Download or read book Representation Theory Of Lie Groups And Lie Algebras - Proceedings Of Fuji-kawaguchiko Conference written by Takeshi Kawazoe and published by World Scientific. This book was released on 1992-08-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings in this volume covers recent developments of representation theory of real Lie groups, Lie algebras, harmonic analysis on homogeneous spaces, their applications and related topics.

Geometric and Harmonic Analysis on Homogeneous Spaces

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Author : Ali Baklouti
Publisher : Springer Nature
ISBN 13 : 3030265625
Total Pages : 217 pages
Book Rating : 4.0/5 (32 download)

Book Synopsis Geometric and Harmonic Analysis on Homogeneous Spaces by : Ali Baklouti

Download or read book Geometric and Harmonic Analysis on Homogeneous Spaces written by Ali Baklouti and published by Springer Nature. This book was released on 2019-08-31 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a number of important contributions focusing on harmonic analysis and representation theory of Lie groups. All were originally presented at the 5th Tunisian–Japanese conference “Geometric and Harmonic Analysis on Homogeneous Spaces and Applications”, which was held at Mahdia in Tunisia from 17 to 21 December 2017 and was dedicated to the memory of the brilliant Tunisian mathematician Majdi Ben Halima. The peer-reviewed contributions selected for publication have been modified and are, without exception, of a standard equivalent to that in leading mathematical periodicals. Highlighting the close links between group representation theory and harmonic analysis on homogeneous spaces and numerous mathematical areas, such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics, the book is intended for researchers and students working in the area of commutative and non-commutative harmonic analysis as well as group representations.

Geometric Methods in Physics

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Author : Piotr Kielanowski
Publisher : Springer Science & Business Media
ISBN 13 : 3034804482
Total Pages : 431 pages
Book Rating : 4.0/5 (348 download)

Book Synopsis Geometric Methods in Physics by : Piotr Kielanowski

Download or read book Geometric Methods in Physics written by Piotr Kielanowski and published by Springer Science & Business Media. This book was released on 2012-11-05 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Białowieża workshops on Geometric Methods in Physics are among the most important meetings in the field. Every year some 80 to 100 participants from both mathematics and physics join to discuss new developments and to interchange ideas. This volume contains contributions by selected speakers at the XXX meeting in 2011 as well as additional review articles and shows that the workshop remains at the cutting edge of ongoing research. The 2011 workshop focussed on the works of the late Felix A. Berezin (1931–1980) on the occasion of his 80th anniversary as well as on Bogdan Mielnik and Stanisław Lech Woronowicz on their 75th and 70th birthday, respectively. The groundbreaking work of Berezin is discussed from today’s perspective by presenting an overview of his ideas and their impact on further developments. He was, among other fields, active in representation theory, general concepts of quantization and coherent states, supersymmetry and supermanifolds. Another focus lies on the accomplishments of Bogdan Mielnik and Stanisław Lech Woronowicz. Mielnik’s geometric approach to the description of quantum mixed states, the method of quantum state manipulation and their important implications for quantum computing and quantum entanglement are discussed as well as the intricacies of the quantum time operator. Woronowicz’ fruitful notion of a compact quantum group and related topics are also addressed.

Representation Theory of Real Reductive Lie Groups

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Author : James Arthur
Publisher : American Mathematical Soc.
ISBN 13 : 0821843664
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Representation Theory of Real Reductive Lie Groups by : James Arthur

Download or read book Representation Theory of Real Reductive Lie Groups written by James Arthur and published by American Mathematical Soc.. This book was released on 2008 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. The papers in this volume were presented at The AMS-IMS-SIAM Joint Summer Research Conference "Representation Theory of Real Reductive Lie Groups" held in Snowbird, Utah in June 2006, with the aim of elucidating the problems that remain, as well as explaining what tools have recently become available to solve them. They represent a significant improvement in the exposition of some of the most important (and often least accessible) aspects of the literature." "This volume will be of interest to graduate students working in the harmonic analysis and representation theory of Lie groups. It will also appeal to experts working in closely related fields."--BOOK JACKET.

Elements of the Representation Theory of the Jacobi Group

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Author : Rolf Berndt
Publisher : Springer Science & Business Media
ISBN 13 : 303480282X
Total Pages : 225 pages
Book Rating : 4.0/5 (348 download)

Book Synopsis Elements of the Representation Theory of the Jacobi Group by : Rolf Berndt

Download or read book Elements of the Representation Theory of the Jacobi Group written by Rolf Berndt and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining algebraic groups and number theory, this volume gathers material from the representation theory of this group for the first time, doing so for both local (Archimedean and non-Archimedean) cases as well as for the global number field case.

Lie Groups, Lie Algebras and Representation Theory

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Author : Hans Zassenhaus
Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Lie Groups, Lie Algebras and Representation Theory by : Hans Zassenhaus

Download or read book Lie Groups, Lie Algebras and Representation Theory written by Hans Zassenhaus and published by . This book was released on 1981 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Commutative Harmonic Analysis

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Author : J. Carmona
Publisher : Springer
ISBN 13 : 3540375244
Total Pages : 241 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Non-Commutative Harmonic Analysis by : J. Carmona

Download or read book Non-Commutative Harmonic Analysis written by J. Carmona and published by Springer. This book was released on 2006-11-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: