Indicators of Hopf algebras in positive characteristic

摘要

The notion of n-th indicator for a finite-dimensional Hopf algebra was introduced by Kashina, Montgomery, and Ng as invariance of the tensor category of its representations. In this short note, we show that the indicators appearing in positive characteristic all share the same sequence pattern if we assume the coradical of the Hopf algebra is a local Hopf subalgebra.