Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Irreducibility of Theta Lifting for Unitary Groups   This article shows that for unitary dual reductive pairs the first occurrence
of theta lift of an irreducible cuspidal automorphic representation is
irreducible. It also proves a refined tower property for theta lifts and the
involutive property for twisted theta lifts.

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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: econ