On non-connected pointed Hopf algebras of dimension 16 in characteristic 2

被引：2
|
作者：
Xiong, Rongchuan [1 ]
机构：
[1] Changzhou Univ, Dept Math, Changzhou 213164, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 10期
关键词：
Nichols algebra; pointed Hopf algebra; positive characteristic; lifting method; MODULAR QUANTIZATIONS; NICHOLS ALGEBRAS; LIE-ALGEBRAS; CARTAN TYPE; CLASSIFICATION; REPRESENTATIONS; COHOMOLOGY; RING;
D O I：
10.1142/S0219498823502146
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let k be an algebraically closed field. We give a complete classification of non-connected pointed Hopf algebras of dimension 16 with char k = 2 that are generated by grouplike elements and skew-primitive elements. It turns out that there are infinitely many classes (up to isomorphism) of pointed Hopf algebras of dimension 16. In particular, we obtain infinitely many new examples of non- commutative non-cocommutative finite-dimensional pointed Hopf algebras.
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页数：52
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