pith. sign in

arxiv: 1212.5626 · v3 · pith:FHL24235new · submitted 2012-12-21 · 🧮 math.RA

Classification of pointed Hopf algebras of dimension p² over any algebraically closed field

classification 🧮 math.RA
keywords algebraschardimensionhopfpointedtextalgebraicallyclassification
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.