Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of pointed and connected Hopf algebras of finite
  Gelfand-Kirillov dimension   Let $H$ be a pointed Hopf algebra. We show that under some mild assumptions
$H$ and its associated graded Hopf algebra $\gr H$ have the same
Gelfand-Kirillov dimension. As an application, we prove that the
Gelfand-Kirillov dimension of a connected Hopf algebra is either infinity or a
positive integer. We also classify connected Hopf algebras of GK-dimension
three over an algebraically closed field of characteristic zero.

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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg