{"product_id":"symmetries-lie-algebras-and-representations-a-graduate-course-for-physicists-paperback-9780521541190","title":"Symmetries, Lie Algebras and Representations; A Graduate Course for Physicists (Paperback) 9780521541190","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSymmetries, Lie Algebras and Representations\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Graduate Course for Physicists\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA graduate level introduction to Lie algebras and their applications in physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJürgen Fuchs (Author), Christoph Schweigert (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521541190, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 7 October 2003\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e464 pages, 36 b\/w illus.  18 tables  188 exercises\u003cbr\u003e24.6 x 18.9 x 2.6 cm, 0.816 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'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\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Symmetries and conservation laws\u003cbr\u003e 2. Basic examples\u003cbr\u003e 3. The Lie algebra su(3) and hadron symmetries\u003cbr\u003e 4. Formalization: algebras and Lie algebras\u003cbr\u003e 5. Representations\u003cbr\u003e 6. The Cartan-Weyl basis\u003cbr\u003e 7. Simple and affine Lie algebras\u003cbr\u003e 8. Real Lie algebras and real forms\u003cbr\u003e 9. Lie groups\u003cbr\u003e 10. Symmetries of the root system. The Weyl group\u003cbr\u003e 11. Automorphisms of Lie algebras\u003cbr\u003e 12. Loop algebras and central extensions\u003cbr\u003e 13. Highest weight representations\u003cbr\u003e 14. Verma modules, Casimirs, and the character formula\u003cbr\u003e 15. Tensor products of representations\u003cbr\u003e 16. Clebsch-Gordan coefficients and tensor operators\u003cbr\u003e 17. Invariant tensors\u003cbr\u003e 18. Subalgebras and branching rules\u003cbr\u003e 19. Young tableaux and the symmetric group\u003cbr\u003e 20. Spinors, Clifford algebras, and supersymmetry\u003cbr\u003e 21. Representations  on function spaces\u003cbr\u003e 22. Hopf algebras and representation rings\u003cbr\u003e Epilogue\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003384025368,"sku":"9780521541190","price":65.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521541190i_80d43e76-1f45-42ec-8693-1293a31af416.jpg?v=1691369363","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/symmetries-lie-algebras-and-representations-a-graduate-course-for-physicists-paperback-9780521541190","provider":"Freshly Printed Books","version":"1.0","type":"link"}