Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Drinfel'd Doubles and Lusztig's Symmetries of Two-Parameter Quantum
  Groups   We find the defining structures of two-parameter quantum groups
$U_{r,s}(\frak g)$ corresponding to the orthogonal and the symplectic Lie
algebras, which are realized as Drinfel'd doubles. We further investigate the
environment conditions upon which the Lusztig's symmetries exist between
$(U_{r,s}(\frak g), < ,>)$ and its associated object $(U_{s^{-1}, r^{-1}}(\frak
g), < | >)$.

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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: q-bio
19
The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con