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Symmetries, Lie Algebras & Represen: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics) - Softcover
Book 45 of 106: Cambridge Monographs on Mathematical Physics
Synopsis
A graduate level introduction to Lie algebras and their applications in physics.
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Review
'One finds a striking wealth of material in this book ... The reviewer wholeheartedly recommends this text to graduate students as well as to researchers in theoretical physics and related areas.' Acta. Sci. Math
'The presentation of material is next to perfect, ... this book may be considered as an excellent textbook ... I agree with the authors that 'many readers will even use it as a reference tool for their whole professional life'.' Vladimir D. Ivashchuk, General Relativity and Gravitation
Book Description
This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.
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Symmetries, Lie Algebras & Represen: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics)
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ISBN 10: 0521541190
ISBN 13: 9780521541190
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Symmetries, Lie Algebras and Representations
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Symmetries, Lie Algebras & Represen: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics) (Volume 0)
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Symmetries, Lie Algebras & Represen: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics)
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Symmetries, Lie Algebras and Representations
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Symmetries, Lie Algebras & Represen: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics) (Volume 0)
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Symmetries, Lie Algebras & Represen: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics)
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ISBN 10: 0521541190
ISBN 13: 9780521541190
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Condition: New. A graduate level introduction to Lie algebras and their applications in physics. Series Editor(s): Landshoff, P. V.; Nelson, David R.; Weinberg, S. Series: Cambridge Monographs on Mathematical Physics. Num Pages: 464 pages, 36 b/w illus. 18 tables 188 exercises. BIC Classification: PBF; PH. Category: (P) Professional & Vocational. Dimension: 246 x 192 x 25. Weight in Grams: 834. . 2008. First Thus. paperback. . . . . Seller Inventory # V9780521541190
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Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists
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ISBN 10: 0521541190
ISBN 13: 9780521541190
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Symmetries, Lie Algebras and Representations
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Paperback. Condition: New. This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products and Clebsch-Gordan coefficients, invariant tensors, subalgebras and branching rules, Young tableaux, spinors, Clifford algebras and supersymmetry, representations on function spaces, and Hopf algebras and representation rings. A detailed reference list is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems. The text is written at a level accessible to graduate students, but will also provide a comprehensive reference for researchers. Seller Inventory # LU-9780521541190
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Symmetries, Lie Algebras and Representations (Paperback)
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Cambridge University Press, Cambridge, 2003
ISBN 10: 0521541190
ISBN 13: 9780521541190
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Paperback. Condition: new. Paperback. This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products and Clebsch-Gordan coefficients, invariant tensors, subalgebras and branching rules, Young tableaux, spinors, Clifford algebras and supersymmetry, representations on function spaces, and Hopf algebras and representation rings. A detailed reference list is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems. The text is written at a level accessible to graduate students, but will also provide a comprehensive reference for researchers. This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521541190
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