论文标题
kac--moody群体的某些Cuspidal Eisenstein系列
Entirety of certain cuspidal Eisenstein series on Kac--Moody groups
论文作者
论文摘要
令$ g $是与非对称性概括的cartan矩阵相关的无限代表理论kac- moody群体。我们考虑了艾森斯坦（Eisenstein）系列，这些系列是在最大抛物线亚组的有限维李维亚亚组上引起的$ g $。在最大抛物线亚组的自然条件下，我们证明cuspidal Eisenstein系列是完整的复杂平面上的。
Let $G$ be an infinite-dimensional representation-theoretic Kac--Moody group associated to a nonsingular symmetrizable generalized Cartan matrix. We consider Eisenstein series on $G$ 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.
