Non Spherical Principal Series Represenatations 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
language : en
Publisher: American Mathematical Soc.
Release Date : 1979
Non Spherical Principal Series Representations Of A Semisimple Lie Group written by Alfred Magnus and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
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
language : en
Publisher:
Release Date : 1976
Non Spherical Principal Series Representations Of A Semisimple Lie Group written by Alfred Magnus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Lie groups categories.
Non Spherical Principal Series Represenatations Of A Semisimple Lie Group
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Author : Alfred Magnus
language : en
Publisher:
Release Date : 1979
Non Spherical Principal Series Represenatations Of A Semisimple Lie Group written by Alfred Magnus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Noncompact Lie Groups And Some Of Their Applications
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Author : Elizabeth A. Tanner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Noncompact Lie Groups And Some Of Their Applications written by Elizabeth A. Tanner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Representation Theory And Harmonic Analysis On Semisimple Lie Groups
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Author : Paul J. Sally, Jr., David A. Vogan, Jr.
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Representation Theory And Harmonic Analysis On Semisimple Lie Groups written by Paul J. Sally, Jr., David A. Vogan, Jr. and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
An Introduction To Lie Groups And Lie Algebras
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Author : Alexander A. Kirillov
language : en
Publisher: Cambridge University Press
Release Date : 2008-07-31
An Introduction To Lie Groups And Lie Algebras written by Alexander A. Kirillov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-31 with Mathematics categories.
Contemporary introduction to semisimple Lie algebras; concise and informal, with numerous exercises and examples
Spherical Functions On A Semi Simple Lie Group
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Author : Cary Rader
language : en
Publisher:
Release Date : 1976
Spherical Functions On A Semi Simple Lie Group written by Cary Rader and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Functions, Spherical categories.
Representation Theory Of Lie Groups
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Author : M. F. Atiyah
language : en
Publisher: Cambridge University Press
Release Date : 1979
Representation Theory Of Lie Groups written by M. F. Atiyah and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
In 1977 a symposium was held in Oxford to introduce Lie groups and their representations to non-specialists.
Lie Groups Beyond An Introduction
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Author : Anthony W. Knapp
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Lie Groups Beyond An Introduction written by Anthony W. Knapp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Lie Groups Beyond an Introduction takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. A feature of the presentation is that it encourages the reader's comprehension of Lie group theory to evolve from beginner to expert: initial insights make use of actual matrices, while later insights come from such structural features as properties of root systems, or relationships among subgroups, or patterns among different subgroups.
Lie Groups Lie Algebras And Their Representations
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Author : V.S. Varadarajan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Lie Groups Lie Algebras And Their Representations written by V.S. Varadarajan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various aspects of the theory in great depth. However, 1 feei there is a need for a single book in English which develops both the algebraic and analytic aspects of the theory and which goes into the representation theory of semi simple Lie groups and Lie algebras in detail. This book is an attempt to fiii this need. It is my hope that this book will introduce the aspiring graduate student as well as the nonspecialist mathematician to the fundamental themes of the subject. I have made no attempt to discuss infinite-dimensional representations. This is a very active field, and a proper treatment of it would require another volume (if not more) of this size. However, the reader who wants to take up this theory will find that this book prepares him reasonably well for that task.