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Separating invariants for Hopf algebras of small dimensions
Mathematical Research Letters ( IF 1 ) Pub Date :  , DOI: 10.4310/mrl.2020.v27.n2.a9
Preena Samuel 1
Affiliation  

In this paper we obtain a finite set $S$ of separating invariants for the variety of Hopf algebras of a fixed dimension. In dimension $p^2$ where $p$ is a prime or when dimension is $\lt 18$, except $8, 12, 16$, these invariants determine isomorphism classes of Hopf algebras, i.e., two Hopf algebras of a given dimension are isomorphic if and only if each of the invariants in $S$ take the same values on both the Hopf algebras.

中文翻译:

小尺寸Hopf代数的不变量

在本文中,我们获得了具有固定维数的Hopf代数的有限不变变量集不变量。在维$ p ^ 2 $中,其中$ p $是质数,或者当维是$ \ lt 18 $时,除了$ 8、12、16 $之外,这些不变量确定Hopf代数的同构类,给定维数的两个Hopf代数当且仅当$ S $中的每个不变量在两个Hopf代数上取相同值时,才是同构的。
更新日期:2020-07-20
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