Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crystal $\Bla$ in $B(\infty)$ for $G_2$ type Lie Algebra   A previous work gave a combinatorial description of the crystal $B(\infty)$,
in terms of certain simple Young tableaux referred to as the marginally large
tableaux, for finite dimensional simple Lie algebras. Using this result, we
present an explicit description of the crystal $B(\lambda)$, in terms of the
marginally large tableaux, for the $G_2$ Lie algebra type. We also provide a
new description of $B(\la)$, in terms of Nakajima monomials, that is in natural
correspondence with our tableau description.

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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: q-bio
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The categories of this paper are: hep-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: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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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: mtrl-th