Theta correspondences for GSp(4)
Wee Teck Gan, Shuichiro Takeda
TL;DR
This paper explicitly determines theta correspondences for GSp(4) and related orthogonal groups, providing essential tools for establishing the local Langlands correspondence for GSp(4).
Contribution
It explicitly computes theta correspondences for GSp(4) and orthogonal similitude groups, advancing the understanding of their representation theory.
Findings
Explicit descriptions of theta correspondences for GSp(4) and orthogonal groups.
Results are instrumental in proving the local Langlands correspondence for GSp(4).
Enhances the understanding of automorphic forms and representation theory for these groups.
Abstract
We explicitly determine the theta correspondences for and orthogonal similitude groups associated to various quadratic spaces of rank and . The results are needed in our proof of the local Langlands correspondence for .
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Taxonomy
TopicsAdvanced Algebra and Geometry · Quantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics