Cuspidal components of Siegel modular forms for large discrete series representations of Sp₄(ℝ)

2023/01/27 by Horinaga, Shuji, Narita, Hiro-aki
#11E45 #11F30 #11M36 #22E45 #33C15 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2301.11552

Abstract

In this paper, we consider automorphic forms on Sp₄(\mathbbA_ℚ) which generate large discrete series representations of Sp₄(ℝ) as (\mathfraksp₄(ℝ),K_∞)-modules. We determine the cuspidal components and the structure of the space of such automorphic forms.

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