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Entirety of certain cuspidal Eisenstein series on Kac–Moody groups
Algebra & Number Theory ( IF 1.3 ) Pub Date : 2022-08-16 , DOI: 10.2140/ant.2022.16.1099
Lisa Carbone, Kyu-Hwan Lee, Dongwen Liu

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 the cuspidal Eisenstein series are entire on the full complex plane.



中文翻译:

整个 Kac-Moody 群的某些尖瓣 Eisenstein 系列

G是与非奇异可对称广义 Cartan 矩阵相关联的无限维表示理论 Kac-Moody 群。我们考虑爱森斯坦系列G从最大抛物线子群的有限维 Levi 子群上的未分叉尖点形式导出。在最大抛物子群的自然条件下,我们证明了尖瓣 Eisenstein 级数在全复平面上是整的。

更新日期:2022-08-16
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