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

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 نشر من قبل Xingting Wang
 تاريخ النشر 2012
  مجال البحث
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Let $p$ be a prime. We complete the classification on pointed Hopf algebras of dimension $p^2$ over an algebraically closed field $k$. When $text{char}k eq p$, 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.

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