Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $R$--groups and elliptic representations for similitude groups   The tempered spectrum of the similitude groups of non-degenerate symplectic,
hermitian, or split orthogonal forms defined over $p$\snug-adic groups of
characteristic zero is studied. The components of representations induced from
discrete series of proper parabolic subgroups are classified in terms of
$R$\snug-groups. Multiplicity one is proved. The tempered elliptic spectrum is
identified, and the relation between elliptic characters appearing in a given
induced representation is determined. Those irreducible tempered
representations which are not elliptic and not fully induced from elliptic
tempered representations are described.

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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: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph