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

Yasuhiko Ikematsu

doi:10.1215/21562261-2019-0033

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

Yasuhiko Ikematsu

Laboratory of Mathematical Design for Advanced Cryptography

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	1075-1110
Number of pages	36
Journal	Kyoto Journal of Mathematics
Volume	59
Issue number	4
DOIs	https://doi.org/10.1215/21562261-2019-0033
Publication status	Published - Jan 1 2019

All Science Journal Classification (ASJC) codes

Mathematics(all)

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

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.",

author = "Yasuhiko Ikematsu",

year = "2019",

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T1 - Local theta lift for p-adic unitary dual pairs U(2) × U(1) and U(2) × U(3)

AU - Ikematsu, Yasuhiko

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N2 - 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.

AB - 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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JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

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

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