3 papers
math.NT2023
The paramodular Hecke algebra
Jennifer Johnson-Leung, Joshua Parker, Brooks Roberts
We give a presentation via generators and relations of the local graded paramodular Hecke algebra of prime level. In particular, we prove that the paramodular Hecke algebra is isom…
math.NT2022
Stable Klingen Vectors and Paramodular Newforms
Jennifer Johnson-Leung, Brooks Roberts, Ralf Schmidt
We introduce the family of stable Klingen congruence subgroups of GSp(4). We use these subgroups to study both local paramodular vectors and Siegel modular forms of degree with…
math.NT2014
Some results on Bessel functionals for GSp(4)
Brooks Roberts, Ralf Schmidt
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 re…