关于紧量子群的注记
Notes on Compact Quantum Groups
摘要:
我们已经写下了一组关于紧致量子群的笔记,从中可以很容易地学习到所有不同的方面,并且可以不费太多的努力就获得很多见解。紧量子群已经被几个作者从不同的角度研究过。区别主要在于公理的选择,因此,在主要结果的证明方式。然而,这些结果在所有这些情况下基本上是相同的。在这些笔记中,我们主要遵循Woronowicz的方法,并广泛地激发了这种选择。我们给出了一个完整的和相当详细的治疗,从一个简单的公理集,并获得主要结果。我们还讨论了最常见的例子,并展示了它们如何融入框架。在此过程中,我们与现有的其他治疗方法进行了比较。
英文摘要:
We have written down a set of notes on compact quantum groups from which all the different aspects can be learned in an easy way and such that a lot of insight can be obtained without too much effort. Compact quantum groups have been studied by several authors, from different points of view. The difference lies mainly in the choice of the axioms and consequently, in the way the main results are proven. These results however are essentially the same in all these cases. In these notes, we mainly follow the approach of Woronowicz and we extensively motivate this choice. We give a complete and rather detailed treatment, starting from a simple set of axioms and obtaining the main results. We also discuss the most common examples and show how they fit into the framework. During this process, we compare with the existing other treatments.
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。