Theta functions and Weil representations of loop symplectic groups

DOI10.1215/00127094-2008-014zbMath1216.11051OpenAlexW2043030600MaRDI QIDQ927317

Yong-Chang Zhu

Publication date: 5 June 2008

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

Full work available at URL: https://doi.org/10.1215/00127094-2008-014

zbMATH Keywords

theta functionWeil representationloop symplectic group

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) (p)-adic theory, local fields (11F85)

Related Items (5)

A construction of representations of loop group and affine Lie algebra of \(\mathfrak{sl}_n \) ⋮ On the theta functional of Weil representations for symplectic loop groups ⋮ On the Siegel-Weil theorem for loop groups. I ⋮ Eisenstein series on loop groups ⋮ Theta lifting for loop groups

Cites Work

• The arithmetic theory of loop groups
• On some explicit formulas in the theory of Weil representation
• Eisenstein series on arithmetic quotients of loop groups
• Representations of algebraic groups over a 2-dimensional local field
• Sur certains groupes d'opérateurs unitaires
• Double affine Hecke algebras and 2-dimensional local fields
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
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