Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gross--Prasad periods for reducible representations   We study GL_2(F)-invariant periods on representations of GL_2(A), where F is
a nonarchimedean local field and A/F a product of field extensions of total
degree 3. For irreducible representations, a theorem of Prasad shows that the
space of such periods has dimension at most 1, and is non-zero when a certain
epsilon-factor condition holds. We give an extension of this result to a
certain class of reducible representations (of Whittaker type), extending
results of Harris--Scholl when A is the split algebra F x F x F.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: solv-int