Existence of Hopf subalgebras of GK-dimension two

Abstract

Let $H$ be a pointed Hopf algebra over an algebraically closed field of characteristic zero. If $H$ is a domain with finite Gelfand-Kirillov dimension greater than or equal to two, then $H$ contains a Hopf subalgebra of Gelfand-Kirillov dimension two.

Accepted by Journal of Pure and Applied algebra, 10.1016/j.jpaa.2011.04.012

Cited by in corpus (1)

• Hopf algebras of GK-dimension two with vanishing Ext-group