Spherical Functions On A Semi Simple Lie Group
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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.
Spherical Functions On Semi Simple Lie Groups
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Author : Cary Baker Rader
language : en
Publisher:
Release Date : 1971
Spherical Functions On Semi Simple Lie Groups written by Cary Baker Rader and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Lie algebras categories.
Spherical Functions On A Simply Connected Semisimple Lie Group
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Author : M. Flensted-Jensen
language : en
Publisher:
Release Date : 1974
Spherical Functions On A Simply Connected Semisimple Lie Group written by M. Flensted-Jensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
A Generalization Of Spherical Functions On Complex Semisimple Lie Groups
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Author : Glenn Aubrey Lancaster
language : en
Publisher:
Release Date : 1971
A Generalization Of Spherical Functions On Complex Semisimple Lie Groups written by Glenn Aubrey Lancaster and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 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 Of Lie Groups And Special Functions
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Author : N.Ja. Vilenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Representation Of Lie Groups And Special Functions written by N.Ja. Vilenkin 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 2013-04-18 with Mathematics categories.
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand-Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.
Spherical Functions On A Simple Connected Semisimple Lie Group 2 The Paley Wiener Theorem For The Rank One Case
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Author : M. Flensted-Jensen
language : en
Publisher:
Release Date : 1976
Spherical Functions On A Simple Connected Semisimple Lie Group 2 The Paley Wiener Theorem For The Rank One Case written by M. Flensted-Jensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Inducing Spherical Representations Of Semi Simple Lie Groups
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Author : Aleksander Strasburger
language : en
Publisher:
Release Date : 1975
Inducing Spherical Representations Of Semi Simple Lie Groups written by Aleksander Strasburger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Lie groups categories.
Spherical Functions On A Simply Connected Semisimple Lie Group
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Author :
language : en
Publisher:
Release Date : 1976
Spherical Functions On A Simply Connected Semisimple Lie Group written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with categories.
Harmonic Analysis Of Spherical Functions On Real Reductive Groups
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Author : Ramesh Gangolli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Harmonic Analysis Of Spherical Functions On Real Reductive Groups written by Ramesh Gangolli 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.
Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics. This is only to be expected, since homogeneous spaces and group representations arise naturally in diverse contexts ranging from Number theory and Geometry to Particle Physics and Polymer Chemistry. Its explosive growth sometimes makes it difficult to realize that it is actually relatively young as mathematical theories go. The early ideas in the subject (as is the case with many others) go back to Elie Cart an and Hermann Weyl who studied the compact symmetric spaces in the 1930's. However its full development did not begin until the 1950's when Gel'fand and Harish Chandra dared to dream of a theory of representations that included all semisimple Lie groups. Harish-Chandra's theory of spherical functions was essentially complete in the late 1950's, and was to prove to be the forerunner of his monumental work on harmonic analysis on reductive groups that has inspired a whole generation of mathematicians. It is the harmonic analysis of spherical functions on symmetric spaces, that is at the focus of this book. The fundamental questions of harmonic analysis on symmetric spaces involve an interplay of the geometric, analytical, and algebraic aspects of these spaces. They have therefore attracted a great deal of attention, and there have been many excellent expositions of the themes that are characteristic of this subject.