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Synopsis
This book gives an exposition of the fundamentals of the theory of linear representations of ?nite and compact groups, as well as elements of the t- ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple and detailed an account as possible of the problems considered. The book therefore makes no claim to completeness. Also, it can in no way give a representative picture of the modern state of the ?eld under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of ?nite groups we recommend the book of C. W. Curtis and I. Reiner [2], and for the theory of representations of Lie groups, that of M. A. Naimark [6]. Introduction The theory of linear representations of groups is one of the most widely - pliedbranchesof algebra. Practically every timethatgroupsareencountered, their linear representations play an important role. In the theory of groups itself, linear representations are an irreplaceable source of examples and a tool for investigating groups. In the introduction we discuss some examples and en route we introduce a number of notions of representation theory. 0. Basic Notions 0. 1.
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Ernest B. Vinberg is a Professor of mathematics at the Moscow University.
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Linear Representations of Groups : Translated from the Russian by A. Iacob
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Springer Basel AG, 2010
ISBN 10 : 3034800622
ISBN 13 : 9783034800624
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Linear Representations of Groups
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Brief, modern and very readable introduction to representation theory of groupsClear and concentrating on the essentialsProvides numerous examples and exercises, some with solutionsErnest B. Vinberg is a Professor of m. N° de réf. du vendeur 4318098
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Linear Representations of Groups: Translated from the Russian by A. Iacob (Modern Birkhäuser Classics)
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Linear Representations of Groups: Translated from the Russian by A. Iacob (Modern Birkhäuser Classics)
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Linear Representations of Groups
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Springer, Basel, Springer Basel, Birkhäuser Mär 2011, 2011
ISBN 10 : 3034800622
ISBN 13 : 9783034800624
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Taschenbuch. Etat : Neu. Neuware - This book gives an exposition of the fundamentals of the theory of linear representations of nite and compact groups, as well as elements of the t- ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions. The book is based on lectures that I delivered in the framework of the experimental program at the Mathematics-Mechanics Faculty of Moscow State University and at the Faculty of Professional Skill Improvement. My aim has been to give as simple and detailed an account as possible of the problems considered. The book therefore makes no claim to completeness. Also, it can in no way give a representative picture of the modern state of the eld under study as does, for example, the monograph of A. A. Kirillov [3]. For a more complete acquaintance with the theory of representations of nite groups we recommend the book of C. W. Curtis and I. Reiner [2], and for the theory of representations of Lie groups, that of M. A. Naimark [6]. Introduction The theory of linear representations of groups is one of the most widely - pliedbranchesof algebra. Practically every timethatgroupsareencountered, their linear representations play an important role. In the theory of groups itself, linear representations are an irreplaceable source of examples and a tool for investigating groups. In the introduction we discuss some examples and en route we introduce a number of notions of representation theory. 0. Basic Notions 0. 1. N° de réf. du vendeur 9783034800624
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Linear Representations of Groups: Translated from the Russian by A. Iacob (Modern Birkhäuser Classics)
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Linear Representations of Groups: Translated from the Russian by A. Iacob (Modern Birkhäuser Classics)
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