Existence of Hopf subalgebras of GK-dimension two
classification
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hopfdimensiongelfand-kirillovalgebraalgebraicallycharacteristicclosedcontains
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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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