Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bernstein-Zelevinsky derivatives: a Hecke algebra approach   Let $G$ be a general linear group over a $p$-adic field. It is well known
that Bernstein components of the category of smooth representations of $G$ are
described by Hecke algebras arising from Bushnell-Kutzko types. We describe the
Bernstein components of the Gelfand-Graev representation of $G$ by explicit
Hecke algebra modules. This result is used to translate the theory of
Bernstein-Zelevinsky derivatives in the language of representations of Hecke
algebras, where we develop a comprehensive theory.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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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: nlin