On the Siegel-Weil theorem for loop groups. I

DOI10.1215/00127094-2011-007zbMath1215.22010arXiv0812.3236OpenAlexW2032916581MaRDI QIDQ533848

Howard Garland, Yong-Chang Zhu

Publication date: 10 May 2011

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

Full work available at URL: https://arxiv.org/abs/0812.3236

zbMATH Keywords

loop groupsymplectic structurearithmetic quotientsnt-module

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (1)

Theta lifting for loop groups

Cites Work

• Absolute convergence of Eisenstein series on loop groups
• Theta functions and Weil representations of loop symplectic groups
• The arithmetic theory of loop groups
• Eisenstein series on arithmetic quotients of loop groups
• Sur la formule de Siegel dans la théorie des groupes classiques
• On Witt's theorem for unimodular quadratic forms. II
• Sur certains groupes d'opérateurs unitaires
• On the Siegel-Weil theorem for loop groups, II
• Eisenstein series on loop groups: Maass-Selberg relations 3
• Eisenstein series on loop groups: Maass-Selberg relations 3
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