Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monoidal categorifications of cluster algebras of type A and D   In this note, we introduce monoidal subcategories of the tensor category of
finite-dimensional representations of a simply-laced quantum affine algebra,
parametrized by arbitrary Dynkin quivers. For linearly oriented quivers of
types A and D, we show that these categories provide monoidal categorifications
of cluster algebras of the same type. The proof is purely
representation-theoretical, in the spirit of [arXiv:0903.1452].

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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex