Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Bernstein presentation for general connected reductive groups   Let F be a non-Archimedean local field and let G be a connected reductive
affine algebraic F-group. Let I be an Iwahori subgroup of G(F) and denote by
H(G; I) the Iwahori-Hecke algebra, i.e. the convolution algebra of
complex-valued functions on G(F) which are left- and right-invariant by
I-translations. This article proves that the Iwahori-Hecke algebra H(G; I) has
both an Iwahori-Matsumoto Presentation and a Bernstein Presentation analogous
to those for affine Hecke algebras on root data found in Lusztig's "Affine
Hecke algebras and their graded version", and gives a basis (in other words, an
explicit Bernstein Isomorphism) for the center Z[H(G; I)] also analogous to
that found in loc. cit.

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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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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: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex