Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categorification of Highest Weight Modules via Khovanov-Lauda-Rouquier
  Algebras   In this paper, we prove Khovanov-Lauda's cyclotomic categorification
conjecture for all symmetrizable Kac-Moody algebras. Let $U_q(g)$ be the
quantum group associated with a symmetrizable Cartan datum and let $V(\Lambda)$
be the irreducible highest weight $U_q(g)$-module with a dominant integral
highest weight $\Lambda$. We prove that the cyclotomic Khovanov-Lauda-Rouquier
algebra $R^{\Lambda}$ gives a categorification of $V(\Lambda)$.

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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: q-fin