Introduction to Lie Algebras and Representation Theory: v. 9 (Graduate Texts in Mathematics)
J.E. Humphreys
ISBN 10: 0387900535 ISBN 13: 9780387900537
Verlag: Springer, 1973
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Befriedigend/Good: Durchschnittlich erhaltenes Buch bzw. Schutzumschlag mit Gebrauchsspuren, aber vollständigen Seiten. / Describes the average WORN book or dust jacket that has all the pages present. Bestandsnummer des Verkäufers M00387900535-G
Inhaltsangabe:
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.
Críticas: J.E. Humphreys Introduction to Lie Algebras and Representation Theory "An excellent introduction to the subject, ideal for a one semester graduate course."a "THE AMERICAN MATHEMATICAL MONTHLY "Exceptionally well written and ideally suited either for independent reading or as a text for an introduction to Lie algebras and their representations."a "MATHEMATICAL REVIEWS J.E. Humphreys Introduction to Lie Algebras and Representation Theory "An excellent introduction to the subject, ideal for a one semester graduate course."???THE AMERICAN MATHEMATICAL MONTHLY "Exceptionally well written and ideally suited either for independent reading or as a text for an introduction to Lie algebras and their representations."???MATHEMATICAL REVIEWS J.E. HumphreysIntroduction to Lie Algebras and Representation Theory "An excellent introduction to the subject, ideal for a one semester graduate course."THE AMERICAN MATHEMATICAL MONTHLY "Exceptionally well written and ideally suited either for independent reading or as a text for an introduction to Lie algebras and their representations."MATHEMATICAL REVIEWS
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Titel: Introduction to Lie Algebras and ...
Verlag: Springer
Erscheinungsdatum: 1973
Einband: Hardcover
Zustand: good
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Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics) (v. 9)
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Hardcover. Zustand: Good. Minor scuffing on cover. Book is bent. Artikel-Nr. mon0003861935
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Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics) (v. 9)
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Hardcover. Zustand: Very Good. Cover and edges may have some wear. Artikel-Nr. mon0003696536
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Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics 9)
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Zustand: Fine. fifth revised printing (1987); 186 pp., hardcover, small hand stamp to the front free endpaper, else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Artikel-Nr. ZB1331131
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Introduction to Lie Algebras and Representation Theory
Verlag:
Springer New York, Springer US Jan 1973, 1973
ISBN 10: 0387900535
ISBN 13: 9780387900537
Neu
Hardcover
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Buch. Zustand: 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. Artikel-Nr. 9780387900537
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Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics, 9)
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Zustand: New. In English. Artikel-Nr. ria9780387900537_new
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Introduction to Lie Algebras and Representation Theory
Verlag:
Springer New York, Springer US, 1973
ISBN 10: 0387900535
ISBN 13: 9780387900537
Neu
Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: 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. Artikel-Nr. 9780387900537
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Introduction to Lie Algebras and Representation Theory
Verlag:
Springer-Verlag New York Inc., 1973
ISBN 10: 0387900535
ISBN 13: 9780387900537
Neu
Hardcover
Anbieter: Kennys Bookstore, Olney, MD, USA
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Zustand: New. Introduces the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. Series: Graduate Texts in Mathematics. Num Pages: 173 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 165 x 17. Weight in Grams: 454. . 1994. 1st ed. 1972. Corr. 7th printing 1994. Hardcover. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780387900537
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