Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor-closed objects in the BGG category of a quantized semisimple Lie
  algebra   We consider the BGG category $\mathcal{O}$ of a quantized universal
enveloping algebra $U_q(\mathfrak{g})$. We call a module $M\in \mathcal{O}$
tensor-closed if $M\otimes N\in\mathcal{O}$ for any $N\in \mathcal{O}$. In this
paper we prove that $M\in \mathcal{O}$ is tensor-closed if and only if $M$ is
finite dimensional. The method used in this paper applies to the unquantized
case as well.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con