Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tempered modules in exotic Deligne-Langlands correspondence   The main purpose of this paper is to identify the tempered modules for the
affine Hecke algebra of type $C_n^{(1)}$ with arbitrary, non-root of unity,
unequal parameters, in the exotic Deligne-Langlands correspondence in the sense
of Kato. Our classification has several applications to the Weyl group module
structure of the tempered Hecke algebra modules. In particular, we provide a
geometric and a combinatorial classification of discrete series which contain
the sign representation of the Weyl group. This last combinatorial
classification was expected from the work of Heckman-Opdam and Slooten.

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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio