Singular holomorphic representations and singular modular forms

DOI10.1007/BF01457310zbMath0466.32017MaRDI QIDQ1155173

Hans Plesner Jakobsen, Michael Harris

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163628

zbMATH Keywords

holomorphic differential forms on Siegel modular varietiesrepresentation of Lie algebra of group of holomorphic automorphismssingular modular form on a tube domain

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Complex Lie groups, group actions on complex spaces (32M05) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Automorphic forms in several complex variables (32N10)

Related Items

Differential symmetry breaking operators. I: General theory and F-method, Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs, F-method for symmetry breaking operators, Annihilators and associated varieties of unitary highest weight modules, Basic covariant differential operators on hermitian symmetric spaces, Symmetry breaking for representations of rank one orthogonal groups, Hilbert-Siegelsche singuläre Modulformen, On Dirichlet series and Petersson products for Siegel modular forms, A program for branching problems in the representation theory of real reductive groups, Special values of zeta functions attached to Siegel modular forms

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