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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Ross Street |

ISBN: | 0521695244 9780521695244 |

OCLC Number: | 78576805 |

Description: | xviii, 141 pages : illustrations ; 23 cm. |

Contents: | 1. Revision of basic structures -- 2. Duality between geometry and algebra -- 3. The quantum general linear group -- 4. Modules and tensor products -- 5. Cauchy modules -- 6. Algebras -- 7. Coalgebras and bialgebras -- 8. Dual coalgebras of algebras -- 9. Hopf algebras -- 10. Representations of quantum groups -- 11. Tensor categories -- 12. Internal horns and duals -- 13. Tensor functors and Yang-Baxter operators -- 14. A tortile Yang-Baxter operator for each finite-dimensional vector space -- 15. Monoids in tensor categories -- 16. Tannaka duality -- 17. Adjoining an antipode to a bialgebra -- 18. The quantum general linear group again -- 19. Solutions to exercises. |

Series Title: | Australian Mathematical Society lecture series, 19. |

Responsibility: | Ross Street. |

More information: |

### Abstract:

Algebra has moved well beyond the topics in standard texts on 'modern algebra': algebraic structures such as groups, rings and fields. Still very important concepts! But Quantum Groups: A Path to Current Algebra is written for the reader keen to learn algebraic concepts and techniques.
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## Reviews

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Publisher Synopsis

"The book is very well written [and] it is quite concise." E.J. Taft, Mathematical Reviews

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