Eisenstein series on affine Kac-Moody groups over function fields

DOI10.1090/S0002-9947-2013-06078-3zbMath1294.22019arXiv1208.4006MaRDI QIDQ5401756

Philip Lombardo, Kyu-Hwan Lee

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4006

zbMATH Keywords

Eisenstein seriesfunctional equationsaffine Kac-Moody groups

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

Entirety of certain cuspidal Eisenstein series on Kac-Moody groups ⋮ Kac–Moody groups and automorphic forms in low dimensional supergravity theories ⋮ Eisenstein series on rank 2 hyperbolic Kac-Moody groups ⋮ Theta lifting for loop groups

Cites Work

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• Absolute convergence of Eisenstein series on loop groups
• The arithmetic theory of loop groups
• Chevalley groups over function fields and automorphic forms
• On the functional equations satisfied by Eisenstein series
• Lie algebra homology and the Macdonald-Kac formulas
• The arithmetic theory of loop groups. II: The Hilbert-modular case
• Kac-Moody groups, their flag varieties and representation theory
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Riemann’s zeta function and beyond
• Projective techniques and functional integration for gauge theories

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