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arXiv:1212.5626 [math.RA]AbstractReferencesReviewsResources

Classification of pointed Hopf algebras of dimension $p^2$ over any algebraically closed field

Linhong Wang, Xingting Wang

Published 2012-12-21, updated 2015-03-12Version 3

Let $p$ be a prime. We complete the classification on pointed Hopf algebras of dimension $p^2$ over an algebraically closed field $k$. When $\text{char}k \neq p$, our result is the same as the well-known result for $\text{char}k=0$. When $\text{char}k=p$, we obtain 14 types of pointed Hopf algebras of dimension $p^2$, including a unique noncommutative and noncocommutative type.

Comments: 10 pages, no figures
Journal: Algebr. Represent. Theory 17 (2014), no. 4, 1267-1276
Categories: math.RA
Subjects: 16T05
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