Existence of Hopf subalgebras of GK-dimension two

Details Existence of Hopf subalgebras of GK-dimension two Existence of Hopf subalgebras of GK-dimension two

2010-08-21

arxiv.org/abs/1008.3604v4

Mathematics

Rings and Algebras

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

Scientific paper

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.

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