Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moment graphs in representation theory and geometry   This paper reviews the moment graph technique that allows to translate
certain representation theoretic problems into geometric ones. For simplicity
we restrict ourselves to the case of semisimple complex Lie algebras. In
particular, we show how the original Kazhdan-Lusztig conjecture on the
characters of irreducible highest weight representations can be translated into
a multiplicity problem for parity sheaves on the (Langlands dual) flag variety.

33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg