Theta functions on Hermitian symmetric domains and fock representations

DOI10.1017/S1446788700003256zbMath1041.22008OpenAlexW2110147570MaRDI QIDQ4431480

Min Ho Lee

Publication date: 22 October 2003

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

Full work available at URL: https://doi.org/10.1017/s1446788700003256

zbMATH Keywords

Heisenberg grouptheta functionsFock representationsSiegel upper half spaceequivariant holomorphic mapautomorphy factorKuga fiber varietyJacobi factorstwistor torus bundles

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Algebraic moduli of abelian varieties, classification (14K10)

Related Items

ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS ⋮ Invariant metric on the extended Siegel-Jacobi upper half space ⋮ A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS ⋮ CONSEQUENCES OF THE FUNDAMENTAL CONJECTURE FOR THE MOTION ON THE SIEGEL–JACOBI DISK ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacobi forms and discrete series representations of the Jacobi group
• Jacobi forms of higher degree
• Equivariant holomorphic maps of symmetric domains
• Conjugates of equivariant holomorphic maps of symmetric domains
• Tata lectures on theta. III
• Singular modular forms and theta relations
• Moduli spaces of abelian surfaces: compactification, degenerations, and theta functions
• Conjugates of strongly equivariant maps
• Some modular varieties of low dimension
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Mixed automorphic vector bundles on Shimura varieties
• Twisted Torus Bundles Over Arithmetic Varieties