Strongly tempered hyperspherical Hamiltonian spaces

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.

46 pages. Any comments are welcome

References in corpus (9)

• A conjecture on Whittaker-Fourier coefficients of cusp forms
• Branching laws for Classical Groups: the non-tempered case
• The twisted symmetric square $L$-function of $GL(r)$
• The dual group of a spherical variety
• Classification of multiplicity free symplectic representations
• Mirabolic Satake equivalence and supergroups
• Functorial transfer between relative trace formulas in rank one
• Multivariate Rankin-Selberg integrals on ${\mathrm{GL}}_4$ and $\mathrm{GU}(2,2)$
• Gaiotto conjecture for $Re{p}_q(GL(N-1|N))$