论文标题
$ H_ {C：σ_{0}} $ Kashina的有限尺寸nichols代数
Finite dimensional Nichols algebras over $H_{c: σ_{0}}$ of Kashina
论文作者
论文摘要
令$ h $为kashina的hopf代数$ h_ {c：σ_{0}} $ [J。代数，232（2000），pp.617-663]。我们将所有简单的Yetter-drinfel'd模块$ V $超过$ H $，然后对所有有限维尼科尔斯代数分类为$ v $。对角线类型的有限维尼科尔斯代数为$ a_ {1}，a_ {2} $或量子平面，而非二角形类型为$ 8 $或$ 16 $尺寸。
Let $H$ be the Hopf algebra $H_{c: σ_{0}}$ of Kashina [J. Algebra, 232(2000),pp.617-663]. We give all simple Yetter-Drinfel'd modules $V$ over $H$, then classify all finite-dimensional Nichols algebras of $V$. The finite dimensional Nichols algebras of diagonal type are either $A_{1}, A_{2}$ or quantum planes, and non-diagonal type ones are $8$ or $16$ dimensional.
