Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum nilpotent subalgebras of classical quantum groups and affine
  crystals   We study the crystal of quantum nilpotent subalgebra of $U_q(D_n)$ associated
to a maximal Levi subalgebra of type $A_{n-1}$. We show that it has an affine
crystal structure of type $D_n^{(1)}$ isomorphic to a limit of perfect
Kirillov-Reshetikhin crystal $B^{n,s}$ for $s\geq 1$, and give a new polytope
realization of $B^{n,s}$. We show that an analogue of RSK correspondence for
type $D$ due to Burge is an isomorphism of affine crystals and give a
generalization of Greene's formula for type $D$.

4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nlin