New Developments In Lie Theory And Their Applications
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New Developments In Lie Theory And Their Applications
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Author : Juan Tirao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Developments In Lie Theory And Their Applications written by Juan Tirao 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.
Representation theory, and more generally Lie theory, has played a very important role in many of the recent developments of mathematics and in the interaction of mathematics with physics. In August-September 1989, a workshop (Third Workshop on Representation Theory of Lie Groups and its Applications) was held in the environs of C6rdoba, Argentina to present expositions of important recent developments in the field that would be accessible to graduate students and researchers in related fields. This volume contains articles that are edited versions of the lectures (and short courses) given at the workshop. Within representation theory, one of the main open problems is to determine the unitary dual of a real reductive group. Although this prob lem is as yet unsolved, the recent work of Barbasch, Vogan, Arthur as well as others has shed new light on the structure of the problem. The article of D. Vogan presents an exposition of some aspects of this prob lem, emphasizing an extension of the orbit method of Kostant, Kirillov. Several examples are given that explain why the orbit method should be extended and how this extension should be implemented.
New Developments In Lie Theory And Their Applications
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Author : Juan Tirao
language : en
Publisher:
Release Date : 1992-10-01
New Developments In Lie Theory And Their Applications written by Juan Tirao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-01 with categories.
New Developments In Lie Theory And Its Applications
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Author : Carina Boyallian
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
New Developments In Lie Theory And Its Applications written by Carina Boyallian 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 2011 with Mathematics categories.
Focuses on representation theory, harmonic analysis in Lie groups, and mathematical physics related to Lie theory. The papers give a broad overview of these subjects and also of the recent developments in research.
New Developments In Lie Theory And Its Applications
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Author : Carina Boyallian, Esther Galina, and Linda Saal
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
New Developments In Lie Theory And Its Applications written by Carina Boyallian, Esther Galina, and Linda Saal 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 2011 with Harmonic analysis categories.
New Developments In Lie Theory And Its Applications
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Author : Carina Boyallian
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
New Developments In Lie Theory And Its Applications written by Carina Boyallian 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 2011 with Mathematics categories.
This volume contains the proceedings of the Seventh Workshop in Lie Theory and Its Applications, which was held November 27-December 1, 2009 at the Universidad Nacional de Cordoba, in Cordoba, Argentina. The workshop was preceded by a special event, "Encuentro de teoria de Lie", held November 23-26, 2009, in honour of the sixtieth birthday of Jorge A. Vargas, who greatly contributed to the development of Lie theory in Cordoba. This volume focuses on representation theory, harmonic analysis in Lie groups, and mathematical physics related to Lie theory. The papers give a broad overview of these subjects and also of the recent developments of the authors' research.
Developments And Retrospectives In Lie Theory
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Author : Geoffrey Mason
language : en
Publisher: Springer
Release Date : 2014-11-12
Developments And Retrospectives In Lie Theory written by Geoffrey Mason and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-12 with Mathematics categories.
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. These Lie theory workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. The contributors have all participated in these Lie theory workshops and include in this volume expository articles which will cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.
Recent Developments In Lie Algebras Groups And Representation Theory
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Author : Kailash C. Misra
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Recent Developments In Lie Algebras Groups And Representation Theory written by Kailash C. Misra 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 2012 with Mathematics categories.
This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.
Lie Theory And Its Applications In Physics
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Author : Vladimir Dobrev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Lie Theory And Its Applications In Physics written by Vladimir Dobrev 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 2013-04-09 with Mathematics categories.
Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples of these new trends are presented in this volume, based on contributions from the Workshop “Lie Theory and Its Applications in Physics” held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.
Developments And Retrospectives In Lie Theory
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Author : Geoffrey Mason
language : en
Publisher:
Release Date : 2014-11-30
Developments And Retrospectives In Lie Theory written by Geoffrey Mason and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-30 with categories.
New Developments In Lie Theory And Geometry
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Author : Carolyn Gordon
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
New Developments In Lie Theory And Geometry written by Carolyn Gordon 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 2009 with Mathematics categories.
This volume is an outgrowth of the Sixth Workshop on Lie Theory and Geometry, held in the province of Cordoba, Argentina in November 2007. The representation theory and structure theory of Lie groups play a pervasive role throughout mathematics and physics. Lie groups are tightly intertwined with geometry and each stimulates developments in the other. The aim of this volume is to bring to a larger audience the mutually beneficial interaction between Lie theorists and geometers that animated the workshop. Two prominent themes of the representation theoretic articles are Gelfand pairs and the representation theory of real reductive Lie groups. Among the more geometric articles are an exposition of major recent developments on noncompact homogeneous Einstein manifolds and aspects of inverse spectral geometry presented in settings accessible to readers new to the area.