论文标题
有限维尖的霍普夫代数的示例特征$ 2 $
Examples of finite-dimensional pointed Hopf algebras in characteristic $2$
论文作者
论文摘要
我们提出了有限维nichols代数的新示例。与这些最后一个相关，它们与Arxiv中描述的特征0中有限的Gelfand-Kirillov维度的Nichols代数有关：1606.02521。特征2领域的新有限维尖头代数是通过与合适的有限阿贝尔基团的组代数的持续化获得的。
We present new examples of finite-dimensional Nichols algebra over fields of characteristic 2 starting from braided vector spaces that are not of diagonal type, admit realizations as Yetter-Drinfeld modules over finite abelian groups and are analogous to braidings over fields of odd characteristic with finite-dimensional Nichols algebras presented in arXiv:1905.03074. As these last ones, they are related to the Nichols algebras of finite Gelfand-Kirillov dimension in characteristic 0 described in arXiv:1606.02521. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.
