Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categorification of tensor product representations of sl(k) and category
  O   We construct categorifications of tensor products of arbitrary
finite-dimensional irreducible representations of $\mathfrak{sl}_k$ with
subquotient categories of the BGG category $\mathcal{O}$, generalizing previous
work of Sussan and Mazorchuk-Stroppel. Using Lie theoretical methods, we prove
in detail that they are tensor product categorifications according to the
recent definition of Losev and Webster. As an application we deduce an
equivalence of categories between certain versions of category $\mathcal{O}$
and Webster's tensor product categories. Finally we indicate how the
categorifications of tensor products of the natural representation of
$\mathfrak{gl}(1|1)$ fit into this framework.

26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ