Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplicity matrices for the affine graded Hecke algebra   In this paper, we look at the problem of determining the composition factors
for the affine graded Hecke algebra via the computation of Kazhdan-Lusztig type
polynomials. We review the algorithms of \cite{L1,L2}, and use them in
particular to compute, at every real central character which admits tempered
modules, the geometric parameterization, the Kazhdan-Lusztig polynomials, the
composition series, and the Iwahori-Matsumoto involution for the
representations with Iwahori fixed vectors of the split $p$-adic groups of type
$G_2$ and $F_4$.

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The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th