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arXiv math/0201080math.QAmath-phmath.MP
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量子群理论导论

Introduction to Quantum Group Theory

William Gordon Ritter

摘要:

这是一个简短的,自足的简要调查,集中在代数和分析方面的量子群。内容包括"量子群“的定义、杨-巴克斯特方程、量子化泛包络代数、辫群的表示、KZ方程和Kohno-Drinfeld定理,以及紧量子群和紧量子群的Haar测度的类似物。

英文摘要:

This is a short, self-contained expository survey, focused on algebraic and analytic aspects of quantum groups. Topics covered include the definition of ``quantum group,'' the Yang-Baxter equation, quantized universal enveloping algebras, representations of braid groups, the KZ equations and the Kohno-Drinfeld theorem, and finally compact quantum groups and the analogue of Haar measure for compact quantum groups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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