Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial formulas for Kazhdan-Lusztig polynomials with respect to
  W-graph ideals   Let $(W,S,L)$ be a weighted Coxeter system and $J$ a subset of $S$, Yin [12]
introduced the weighted $W$-graph ideal $E_J$ and the weighted Kazhdan-Lusztig
polynomials $ \left \{ P_{x,y} \mid x,y\in E_J\right \}$. In this paper, we
study the combinatorial formulas for $P_{x,y}$, which will extend the results
of Brenti [2] and Deodhar [5].

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas