Entirety of certain cuspidal Eisenstein series on Kac–Moody groups

نویسندگان

چکیده

Let $G$ 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 finite-dimensional Levi subgroups of maximal parabolic subgroups. Under natural condition subgroups, we prove that the cuspidal are entire full complex plane.

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ژورنال

عنوان ژورنال: Algebra & Number Theory

سال: 2022

ISSN: ['1944-7833', '1937-0652']

DOI: https://doi.org/10.2140/ant.2022.16.1099