The explicit theta correspondence for reductive dual pairs (Sp(p,q),O^*(4))

2015/09/07 by Yixin Bao, Bao, Yixin
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1509.01970

openalex publication_date 2015/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For every irreducible Harish-Chandra module of O^*(4), we determine its theta lift to Sp(p,q) in terms of the Langlands parameter, for all non-negative integers p and q. Our strategy is to determine the desired theta lifts by their infinitesimal characters and lowest K-types.

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