Entirety of certain cuspidal Eisenstein series on Kac--Moody groups
Number Theory
2021-05-11 v2 Representation Theory
Abstract
Let be an infinite-dimensional representation-theoretic Kac--Moody group associated to a nonsingular symmetrizable generalized Cartan matrix. We consider Eisenstein series on induced from unramified cusp forms on finite-dimensional Levi subgroups of maximal parabolic subgroups. Under a natural condition on maximal parabolic subgroups, we prove that the cuspidal Eisenstein series are entire on the full complex plane.
Keywords
Cite
@article{arxiv.2008.11559,
title = {Entirety of certain cuspidal Eisenstein series on Kac--Moody groups},
author = {Lisa Carbone and Kyu-Hwan Lee and Dongwen Liu},
journal= {arXiv preprint arXiv:2008.11559},
year = {2021}
}