论文标题
有限的GK维尼科尔斯代数在无限的二面群上
Finite GK-dimensional Nichols Algebras over the Infinite Dihedral Group
论文作者
论文摘要
我们通过对$ \ Mathbb {d} _ {\ infty} $的nichols代数的研究，将HOPF代数的分类和简短的GK-dimension分类为简短。我们发现$ \ mathbb {d} _ {\ infty} $上的所有不可约的Yetter-drinfeld模块$ v $ $ v $，并确定哪些Nichols algebras $ \ MathCal {b}（b}（v）$ v $的$ V $是有限的GK-Dimensional。
We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GK-dimension for short, through the study of Nichols algebras over $\mathbb{D}_{\infty}$, the infinite dihedral group. We find all the irreducible Yetter-Drinfeld modules $V$ over $\mathbb{D}_{\infty}$, and determine which Nichols algebras $\mathcal{B}(V)$ of $V$ are finite GK-dimensional.
