{"product_id":"quantum-groups-a-path-to-current-algebra-paperback-9780521695244","title":"Quantum Groups; A Path to Current Algebra (Paperback) 9780521695244","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eQuantum Groups\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Path to Current Algebra\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eQuantum Groups: A Path to Current Algebra presents algebraic concepts and techniques.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRoss Street (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521695244, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 18 January 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e160 pages, 26 b\/w illus.  25 exercises\u003cbr\u003e22.9 x 15.2 x 0.9 cm, 0.24 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 is very well written [and] it is quite concise.\"  \u003cbr\u003eE.J. Taft, Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eAlgebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e 1. Revision of basic structures\u003cbr\u003e 2. Duality between geometry and algebra\u003cbr\u003e 3. The quantum general linear group\u003cbr\u003e 4. Modules and tensor products\u003cbr\u003e 5. Cauchy modules\u003cbr\u003e 6. Algebras\u003cbr\u003e 7. Coalgebras and bialgebras\u003cbr\u003e 8. Dual coalgebras of algebras\u003cbr\u003e 9. Hopf algebras\u003cbr\u003e 10. Representations of quantum groups\u003cbr\u003e 11. Tensor categories\u003cbr\u003e 12. Internal homs and duals\u003cbr\u003e 13. Tensor functors and Yang-Baxter operators\u003cbr\u003e 14. A tortile Yang-Baxter operator for each finite-dimensional vector space\u003cbr\u003e 15. Monoids in tensor categories\u003cbr\u003e 16. Tannaka duality\u003cbr\u003e 17. Adjoining an antipode to a bialgebra\u003cbr\u003e 18. The quantum general linear group again\u003cbr\u003e 19. Solutions to exercises\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], Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\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":46252000805144,"sku":"9780521695244","price":49.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521695244i.jpg?v=1691928047","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/quantum-groups-a-path-to-current-algebra-paperback-9780521695244","provider":"Freshly Printed Books","version":"1.0","type":"link"}