Construction of arithmetic automorphic functions for special Clifford groups

DOI10.1017/S0027763000018559zbMath0425.10032MaRDI QIDQ3859862

Kuang-yen Shih

Publication date: 1979

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

zbMATH Keywords

bounded symmetric domainreductive algebraic grouptotally real algebraic number fieldarithmetic automorphic functionsClifford group of a quadratic form

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Clifford algebras, spinors (15A66) Totally real fields (11R80) Automorphic functions in symmetric domains (32N15)

Related Items (1)

Modular forms

Cites Work

• Anti-holomorphic automorphisms of arithmetic automorphic function fields
• On the real points of an arithmetic quotient of a bounded symmetric domain
• Discontinuous groups and abelian varieties
• Symplectic representations of algebraic groups satisfying a certain analyticity condition
• Construction of class fields and zeta functions of algebraic curves
• Algebraic number fields and symplectic discontinuous groups
• Models of certain automorphic function fields
• On canonical models of arithmetic quotients of bounded symmetric domains
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space

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