Perspectives Of Representation Theory And Noncommutative Harmonic Analysis
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Perspectives Of Representation Theory And Noncommutative Harmonic Analysis
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Author :
language : en
Publisher:
Release Date : 2013
Perspectives Of Representation Theory And Noncommutative Harmonic Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Perspectives In Representation Theory
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Author : Pavel Etingof
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-11
Perspectives In Representation Theory written by Pavel Etingof 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 2014-03-11 with Mathematics categories.
This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor of Igor Frenkel's 60th birthday. The aim of the conference was to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands program, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and -adic groups, and quantum gauge theories. The papers in this volume present representation theory connections to numerous other subjects, as well as some of the most recent advances in representation theory, including those which occurred thanks to the application of techniques in other areas of mathematics, and of ideas of quantum field theory and string theory.
Representation Theory And Noncommutative Harmonic Analysis I
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Author : A.A. Kirillov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Representation Theory And Noncommutative Harmonic Analysis I written by A.A. Kirillov 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.
Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie groups. It is a typical feature of this survey that the structure of the theory is carefully exposed - the reader can easily see the essence of the theory without being overwhelmed by details. The final chapter is devoted to the method of orbits for different types of groups. Part II deals with representation of Virasoro and Kac-Moody algebra. The second part of the book deals with representations of Virasoro and Kac-Moody algebra. The wealth of recent results on representations of infinite-dimensional groups is presented.
Aspects Of Representation Theory And Noncommutative Harmonic Analysis
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Author : Jean H Gallier
language : en
Publisher: World Scientific
Release Date : 2025-01-17
Aspects Of Representation Theory And Noncommutative Harmonic Analysis written by Jean H Gallier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-17 with Mathematics categories.
This book presents the theory of harmonic analysis for noncommutative compact groups. If G is a commutative locally compact group, there is a well-understood theory of harmonic analysis as discussed in Aspects of Harmonic Analysis on Locally Compact Abelian Groups. If G is not commutative, things are a lot tougher. In the special case of a compact group, there is a deep interplay between analysis and representation theory which was first discovered by Hermann Weyl and refined by Andre Weil. This book presents these seminal results of Weyl and Weil.Starting with the basics of representations theory, it presents the famous Peter-Weyl theorems and discusses Fourier analysis on compact groups. This book also introduces the reader to induced representations of locally compact groups, induced representations of G-bundles, and the theory of Gelfand pairs. A special feature is the chapter on equivariant convolutional neural networks (CNNs), a chapter which shows how many of the abstract concepts of representations, analysis on compact groups, Peter-Weyl theorems, Fourier transform, induced representations are used to tackle very practical, modern-day problems.
Noncommutative Harmonic Analysis
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Author : Michael Eugene Taylor
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Noncommutative Harmonic Analysis written by Michael Eugene Taylor 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 1986 with Mathematics categories.
Explores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.
New Viewpoints Of Representation Theory And Noncommutative Harmonic Analysis
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Author :
language : ja
Publisher:
Release Date : 2010
New Viewpoints Of Representation Theory And Noncommutative Harmonic Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Perspectives In Partial Differential Equations Harmonic Analysis And Applications
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Author : Dorina Mitrea
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Perspectives In Partial Differential Equations Harmonic Analysis And Applications written by Dorina Mitrea 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 2008 with Mathematics categories.
This volume contains a collection of papers contributed on the occasion of Mazya's 70th birthday by a distinguished group of experts of international stature in the fields of harmonic analysis, partial differential equations, function theory, and spectral analysis, reflecting the state of the art in these areas.
New Viewpoints Of Representation Theory And Noncommutative Harmonic Analysis
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Author : 稔·伊藤
language : en
Publisher:
Release Date : 2010
New Viewpoints Of Representation Theory And Noncommutative Harmonic Analysis written by 稔·伊藤 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Harmonic analysis categories.
Algebraic Topology Applications And New Directions
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Author : Ulrike Tillmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-07-14
Algebraic Topology Applications And New Directions written by Ulrike Tillmann 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 2014-07-14 with Mathematics categories.
This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject. The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic -theory and the theory of operads.
Perspectives On Quantization
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Author : Lewis A. Coburn
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Perspectives On Quantization written by Lewis A. Coburn 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 1998 with Mathematics categories.
This book presents the proceedings of a 1996 Joint Summer Research Conference sponsored by AMS-IMS-SIAM on "Quantization" held at Mount Holyoke College (Northampton, MA). The purpose of this conference was to bring together researchers focusing on various mathematical aspects of quantization. In the early work of Weyl and von Neumann at the beginning of the quantum era, the setting for this enterprise was operators on Hilbert space. This setting has been expanded, especially over the past decade, to involve C*-algebras - noncommutative differential geometry and noncommutative harmonic analysis - as well as more general algebras and infinite-dimensional manifolds. The applications now include quantum field theory, notable conformal and topological field theories related to quantization of moduli spaces, and constructive quantum field theory of supersymmetric models and condensed matter physics (the fractional quantum Hall effect in particular). The spectrum of research interests which significantly intersects the topic of quantization is unusually broad including, for example, pseudodifferential analysis, the representation theory of Lie groups and algebras (including infinite-dimensional ones), operator algebras and algebraic deformation theory. The papers in this collection originated with talks by the authors at the conference and represent a strong cross-section of the interests described above.