We present new examples of finite-dimensional Nichols algebras over fields of characteristic 2 from braided vector spaces that are not of diagonal type, admit realizations as Yetter–Drinfeld modules over finite abelian groups, and are analogous to Nichols algebras of finite Gelfand–Kirillov dimension in characteristic 0. New finite-dimensional pointed Hopf algebras over fields of characteristic 2 are obtained by bosonization with group algebras of suitable finite abelian groups.

中文翻译：

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特征 2 中的有限维点 HOPF 代数示例

我们提出了来自非对角类型的编织向量空间的特征 2 域上的有限维 Nichols 代数的新示例，承认实现为有限阿贝尔群上的 Yetter-Drinfeld 模块，并且类似于有限 Gelfand-Kirillov 维数的 Nichols 代数在特征 0 中。在特征 2 的场上新的有限维尖点 Hopf 代数是通过用合适的有限阿贝尔群的群代数进行玻色化获得的。