论文标题

通用量子(半)组和HOPF信封:勘误

Universal quantum (semi)groups and Hopf envelopes: Erratum

论文作者

Farinati, Marco

论文摘要

在\ cite {f}中,有一个语句概括\ cite {fg}中的结果。不幸的是,计算会影响主要结果的错误。我不知道\ cite {f}中的主要结果是否为真,但是我提出了一个替代语句(定理3.7),这实际上是\ cite {fg}中的主要动机。该声明以一种肯定的方式回答问题,即FRT构造在量子决定因素方面的本地化是否是HOPF代数,以防尼科尔斯代数与编织相关的代数是有限的维度。

In \cite{F} there is a statement generalizing the results in \cite{FG}. Unfortunately there is a mistake in a computation that affects the main result. I don't know if the main result in \cite{F} is true or not, but I propose an alternative statement (Theorem 3.7) that was actually the main motivation in \cite{FG}. This statement answers in an affirmative way the question whether the localization of the FRT construction with respect to a quantum determinant is a Hopf algebra, in case the Nichols algebra associated to the braiding is finite dimensional.

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