A remark on the failure of multiplicity one for GSp(4)
Daniel File, Ramin Takloo-Bighash
TL;DR
This paper examines the failure of the strong multiplicity one property for GSp(4), revisiting classical results to clarify the circumstances under which multiplicity one does not hold.
Contribution
It provides a detailed analysis of the classical failure of strong multiplicity one for GSp(4), offering new insights into its underlying reasons.
Findings
Confirmed the failure of strong multiplicity one for GSp(4)
Clarified the classical context of this failure
Provided a refined understanding of multiplicity phenomena in GSp(4)
Abstract
We revisit a classical result of Howe and Pitatski-Shapiro on the failure of strong multiplicity one for .
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Algebraic Geometry and Number Theory