Quantum groups : a path to current algebra /
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| Author / Creator: | Street, Ross, 1945- |
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| Imprint: | Cambridge ; New York : Cambridge University Press, 2007. |
| Description: | 1 online resource (xviii, 141 pages) : illustrations, map |
| Language: | English |
| Series: | Australian Mathematical Society lecture series ; 19 Australian Mathematical Society lecture series ; 19. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11812838 |
| Summary: | Algebra 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 the latest 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. |
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| Physical Description: | 1 online resource (xviii, 141 pages) : illustrations, map |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780511269905 0511269900 0511267053 9780511267055 0511268335 9780511268335 0511269005 9780511269004 0521695244 9780521695244 0511269323 9780511269325 128075026X 9781280750267 9786610750269 6610750262 9780511618505 0511618506 1107158389 9781107158382 0511320485 9780511320484 |