Articles liés à Introduction to Lie Algebras and Representation Theory
Synopsis
This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor- porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with "toral" subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry.
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Biographie de l'auteur
James E. Humphreys is Professor of Mathematics at the University of Massachusetts in Amherst. He taught previously at the University of Oregon and at New York University. His research interests include linear algebraic groups, Lie algebras, finite simple groups and algebraic K-theory. Dr. Humphreys graduated from Oberlin College in 1961. He did graduate work in philosophy and mathematics at Cornell University and later received his Ph.D. from Yale University in 1966.
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Introduction to Lie Algebras and Representation Theory (Graduate texts in mathematics, vol.9)
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Springer, 1973
ISBN 10 : 0387900527
ISBN 13 : 9780387900520
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Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics)
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Springer, 1973
ISBN 10 : 0387900527
ISBN 13 : 9780387900520
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Introduction to Lie Algebras and Representation Theory
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Springer New York, 1973
ISBN 10 : 0387900527
ISBN 13 : 9780387900520
Neuf
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes supplementary material: sn.pub/extrasThis book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of lin. N° de réf. du vendeur 5911583
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Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics, 9)
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Introduction to Lie Algebras and Representation Theory
Edité par
Springer New York Jan 1973, 1973
ISBN 10 : 0387900527
ISBN 13 : 9780387900520
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with 'toral' subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry. 196 pp. Englisch. N° de réf. du vendeur 9780387900520
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Introduction to Lie Algebras and Representation Theory 9
Edité par
Springer, 1973
ISBN 10 : 0387900527
ISBN 13 : 9780387900520
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Soft cover. Etat : As New. pre owned; with all clean pages; no names no writing; the yellow Springer covers easily pick up off colors: slight cover wear! all clean all as new; I ship daily at 0900 CT IL USA; N° de réf. du vendeur 004029
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Introduction to Lie Algebras and Representation Theory
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Introduction to Lie Algebras and Representation Theory
Edité par
Springer US, Springer New York Jan 1973, 1973
ISBN 10 : 0387900527
ISBN 13 : 9780387900520
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. Neuware -This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with 'toral' subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 196 pp. Englisch. N° de réf. du vendeur 9780387900520
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Introduction to Lie Algebras and Representation Theory
Edité par
Springer US, Springer New York, 1973
ISBN 10 : 0387900527
ISBN 13 : 9780387900520
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear forms, euclidean spaces, and tensor products of vector spaces) is presupposed, as well as some acquaintance with the methods of abstract algebra. The first four chapters might well be read by a bright undergraduate; however, the remaining three chapters are admittedly a little more demanding. Besides being useful in many parts of mathematics and physics, the theory of semisimple Lie algebras is inherently attractive, combining as it does a certain amount of depth and a satisfying degree of completeness in its basic results. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory. I have tried to incor porate some of them here and to provide easier access to the subject for non-specialists. For the specialist, the following features should be noted: (I) The Jordan-Chevalley decomposition of linear transformations is emphasized, with 'toral' subalgebras replacing the more traditional Cartan subalgebras in the semisimple case. (2) The conjugacy theorem for Cartan subalgebras is proved (following D. J. Winter and G. D. Mostow) by elementary Lie algebra methods, avoiding the use of algebraic geometry. N° de réf. du vendeur 9780387900520
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Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics, 9)
Edité par
Springer, 1973
ISBN 10 : 0387900527
ISBN 13 : 9780387900520
Ancien ou d'occasion
paperback
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paperback. Etat : Very Good. Very good- paperback copy (NOT ex-library). Light foxing to top page block. Some sunning to wraps. Else in great shape. Spine is uncreased, binding tight and sturdy; text also very good. Shelfwear is very minor. A solid copy. Ships same or next business day from Dinkytown in Minneapolis, Minnesota. N° de réf. du vendeur 313131
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