Absolute convergence of Eisenstein series on loop groups

DOI10.1215/S0012-7094-06-13521-4zbMath1160.11025MaRDI QIDQ854575

Howard Garland

Publication date: 5 December 2006

Published in: Duke Mathematical Journal (Search for Journal in Brave)

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

Entirety of certain cuspidal Eisenstein series on Kac-Moody groups ⋮ Kac–Moody groups and automorphic forms in low dimensional supergravity theories ⋮ Eisenstein series on affine Kac-Moody groups over function fields ⋮ Eisenstein series on rank 2 hyperbolic Kac-Moody groups ⋮ On the Siegel-Weil theorem for loop groups. I ⋮ Eisenstein series for infinite-dimensional U-duality groups ⋮ Eisenstein series on loop groups ⋮ Theta lifting for loop groups

Cites Work

• The arithmetic theory of loop groups
• The arithmetic theory of loop algebras
• The arithmetic theory of loop groups. II: The Hilbert-modular case
• Infinite dimensional groups and automorphic \(L\)-functions
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups