| 书目名称 | Introduction to Quantum Groups |
| 编辑 | George Lusztig |
| 视频video | http://file.papertrans.cn/475/474101/474101.mp4 |
| 概述 | A classical introduction to quantum groups.Exercises and open problems included.The standard reference book for the material presented.Includes supplementary material: |
| 丛书名称 | Modern Birkhäuser Classics |
| 图书封面 |  |
| 描述 | According to Drinfeld, a quantum group is the same as a Hopf algebra. This includes as special cases, the algebra of regular functions on an algebraic group and the enveloping algebra of a semisimple Lie algebra. The qu- tum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. Although such quantum groups appeared in connection with problems in statistical mechanics and are closely related to conformal field theory and knot theory, we will regard them purely as a new development in Lie theory. Their place in Lie theory is as follows. Among Lie groups and Lie algebras (whose theory was initiated by Lie more than a hundred years ago) the most important and interesting ones are the semisimple ones. They were classified by E. Cartan and Killing around 1890 and are quite central in today‘s mathematics. The work of Chevalley in the 1950s showed that semisimple groups can be defined over arbitrary fields (including finite ones) and even over integers. Although semisimple Lie algebras cannot be deformed in a non-trivial way, the work of Drinfeld and Jimbo showed that their enveloping (Hopf) algebras admit a rat |
| 出版日期 | Textbook 2010 |
| 关键词 | Fourier-Deligne transform; Kac-Moody Lie algebras; Kashiwara‘s operators; Permutation; Representation th |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-8176-4717-9 |
| isbn_softcover | 978-0-8176-4716-2 |
| isbn_ebook | 978-0-8176-4717-9Series ISSN 2197-1803 Series E-ISSN 2197-1811 |
| issn_series | 2197-1803 |
| copyright | Springer Science+Business Media, LLC 2010 |
|Archiver|手机版|小黑屋|
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