2019•Kyoto journal of mathematicsOpen access

Local theta lift for p-adic unitary dual pairs U(2)×U(1) and U(2)×U(3)

Yasuhiko Ikematsu

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Abstract

In this paper we describe the local theta lift for p-adic unitary dual pairs U(2) × U(1) and U(2) × U(3).We also describe the local theta lift for a pair of p-adic quaternionic unitary groups of rank 1.

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In this paper we describe the local theta lift for p-adic unitary dual pairs U(2) × U(1) and U(2) × U(3).We also describe the local theta lift for a pair of p-adic quaternionic unitary groups of rank 1.

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Available abstract

In this paper we describe the local theta lift for p-adic unitary dual pairs U(2) × U(1) and U(2) × U(3).We also describe the local theta lift for a pair of p-adic quaternionic unitary groups of rank 1.

Key concepts: Unitary state, Lift (data mining), Mathematics, Rank (graph theory), Dual (grammatical number), Unitary group, Pure mathematics, Combinatorics

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