Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical bases for tensor products and super Kazhdan-Lusztig theory   We generalize a construction in [BW18] (arXiv:1610.09271) by showing that the
tensor product of a based $\textbf{U}^{\imath}$-module and a based
$\textbf{U}$-module is a based $\textbf{U}^{\imath}$-module. This is then used
to formulate a Kazhdan-Lusztig theory for an arbitrary parabolic BGG category
$\mathcal{O}$ of the ortho-symplectic Lie superalgebras, extending a main
result in [BW13] (arXiv:1310.0103).

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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: atom-ph
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The categories of this paper are: econ
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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: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom