Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gelfand-Kirillov dimension of the algebra of regular functions on
  quantum groups   Let $G_q$ be the $q$-deformation of a simply connected simple compact Lie
group $G$ of type $A$, $C$ or $D$ and $\mathcal{O}_q(G)$ be the algebra of
regular functions on $G_q$. In this article, we prove that the Gelfand-Kirillov
dimension of $\mathcal{O}_q(G)$ is equal to the dimension of real manifold $G$.

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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat