Similitude exceptional theta correspondences

2023/08/25 by Petar Bakić, Wee Teck Gan, Bakic, Petar +3
Mathematics · #22E50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2308.13339

openalex publication_date 2023/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct and develop a similitude version of exceptional theta correspondences and show that the Howe duality theorem follows from that for the "isometry" case. We also extend basic tools such as the seesaw identity associated to seesaw dual pairs to the similitude setting.

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