Theta Correspondence for U(1,1) and U(2)

Details Theta Correspondence for U(1,1) and U(2) Theta Correspondence for U(1,1) and U(2)

2008-11-24

arxiv.org/abs/0811.3922v1

Mathematics

Representation Theory

17 pages

Scientific paper

In this paper, we parametrize certain irreducible supercuspidal representations of U(1,1) and U(2) via explicit induction data. The parametrization depends on traceless elements of negative valuation in a quadratic extension of base field. We use the lattice model of the Weil representation to determine which traceless elements are involved in the theta correspondence for reductive dual pair U(1,1) and U(2).

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