Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Affine Cellularity of Khovanov-Lauda-Rouquier Algebras of Finite Types   We prove that the Khovanov-Lauda-Rouquier algebras $R_\alpha$ of finite type
are (graded) affine cellular in the sense of Koenig and Xi. In fact, we
establish a stronger property, namely that the affine cell ideals in $R_\alpha$
are generated by idempotents. This in particular implies the (known) result
that the global dimension of $R_\alpha$ is finite.

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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: eess