Work

Some results on Bessel functionals for GSp(4)

Year: 2014

Type: preprint

Abstract: We prove that every irreducible, admissible representation of GSp(4,F), where F is a non-archimedean local field of characteristic zero, admits a Bessel functional, provided the representation is not one-dimensional. Given such a representation, we explicitly determine the set of all split Bessel functionals admitted by the representation, and prove that these functionals are unique. If the representation is not supercuspidal, or in an L-packet with a non-supercuspidal representation, we explicitly determine the set of all Bessel functionals admitted by the representation, and prove that these functionals are unique.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1501.00221

Authors: Roberts, Brooks, Schmidt, Ralf

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Bessel Models and the Transfer of Siegel Cusp Forms of Degree 2

OpenAlex ID: W4298347401

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