Strongly tempered hyperspherical Hamiltonian spaces
Number Theory
2026-03-11 v2 Representation Theory
Abstract
In this paper, we give a complete list of strongly tempered hyperspherical Hamiltonian spaces. We show that the period integrals attached to the list contains many previously studied Rankin-Selberg integrals and period integrals, thus give a new conceptual understanding of these integrals. The list also proposes many new interesting period integrals to study.
Keywords
Cite
@article{arxiv.2405.17699,
title = {Strongly tempered hyperspherical Hamiltonian spaces},
author = {Zhengyu Mao and Chen Wan and Lei Zhang},
journal= {arXiv preprint arXiv:2405.17699},
year = {2026}
}
Comments
46 pages. Any comments are welcome