{"product_id":"symplectic-fibrations-and-multiplicity-diagrams-hardback-9780521443234","title":"Symplectic Fibrations and Multiplicity Diagrams (Hardback) 9780521443234","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSymplectic Fibrations and Multiplicity Diagrams\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eApplications of the techniques of symplectic geometry to describe 'symmetry breaking' in quantum physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eVictor Guillemin (Author), Eugene Lerman (Author), Shlomo Sternberg (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521443234, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 September 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e240 pages, 35 b\/w illus.\u003cbr\u003e22.9 x 15.2 x 1.7 cm, 0.52 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 book contains a wealth of interesting material … The book is a very interesting survey of a rapidly developing field of research and it is certainly worth of the effort needed to read and to understand it.' European Mathematical Society\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMultiplicity diagrams can be viewed as schemes for describing the phenomenon of 'symmetry breaking' in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacanae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg, including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical physics will find this book fascinating.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Symplectic fibrations\u003cbr\u003e 2. Examples of symplectic fibrations: the coadjoint orbit hierarchy\u003cbr\u003e 3. Duistermaat-Heckman polynomials\u003cbr\u003e 4. Symplectic fibrations and multiplicity diagrams\u003cbr\u003e 5. Computations with orbits\u003cbr\u003e Appendices\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\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":46007432675608,"sku":"9780521443234","price":108.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521443234i_cd7bc05a-e10e-49ce-bd22-8aea7a935772.jpg?v=1691381940","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/symplectic-fibrations-and-multiplicity-diagrams-hardback-9780521443234","provider":"Freshly Printed Books","version":"1.0","type":"link"}