Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Kazhdan-Lusztig algorithm for Whittaker modules   We study a category of Whittaker modules over a complex semisimple Lie
algebra by realizing it as a category of twisted D-modules on the associated
flag variety using Beilinson-Bernstein localization. The main result of this
paper is the development of a geometric algorithm for computing the composition
multiplicities of standard Whittaker modules. This algorithm establishes that
these multiplicities are determined by a collection of polynomials we refer to
as Whittaker Kazhdan-Lusztig polynomials. In the case of trivial nilpotent
character, this algorithm specializes to the usual algorithm for computing
multiplicities of composition factors of Verma modules using Kazhdan-Lusztig
polynomials.

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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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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: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics