论文标题
在Hopf代数的反座上，带有双雪瓦利物业
On the Antipode of Hopf Algebras with the Dual Chevalley Property
论文作者
论文摘要
在本文中，我们将研究有限维的Hopf代数$ H $与双重雪佛兰物业的反模型，并获得了其反码头$ S $的an灭多项式。 an灭多项式由珊瑚色和斑驳长度的指数$ n $确定。特别是，$ s^2 $的顺序将$ n $划分为特征$ 0 $。此外，我们获得了准exponent的两个特征。
In this paper, we study the antipode of a finite-dimensional Hopf algebra $H$ with the dual Chevalley property and obtain an annihilation polynomial for its antipode $S$. The annihilation polynomial is determined by the exponent $N$ of the coradical and the Loewy length. In particular, the order of $S^2$ divides $N$ in characteristic $0$. Moreover, we get two characterizations of the quasi-exponent.
