Year: 2026
Type: preprint
Abstract: For any archimedean reductive dual pair, we prove that the Jordan-Hölder multiplicity of the small theta lift in the full theta lift is one. The main input is an equality between the multiplicities of the lowest degree $K$-types in the full and small theta lifts. We also deduce a new description of the archimedean theta correspondence in terms of lowest degree K-types.
Source: arXiv (Cornell University)
Authors: Geng, Zhibin, Wu, Kaidi
Institution: University of Hong Kong
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G736205542
OpenAlex ID: W7214082514