量子群理论导论
Introduction to Quantum Group Theory
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.
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