Rankin-Cohen brackets, transvectants and covariant differential operators

DOI10.1007/s00209-009-0477-zzbMath1189.32013OpenAlexW1989291767MaRDI QIDQ848826

Genkai Zhang

Publication date: 23 February 2010

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

Full work available at URL: https://doi.org/10.1007/s00209-009-0477-z

zbMATH Keywords

bounded symmetric domaincovariant differentiationRankin-Cohen bracketsholomorphic discrete seriestransvectantsbilinear invariant differential operator

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Negative curvature complex manifolds (32Q05)

Related Items (4)

Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs ⋮ Covariant bi-differential operators on matrix space ⋮ The Lie theory of certain modular form and arithmetic identities ⋮ Rankin-Cohen brackets and representations of conformal Lie groups

Cites Work

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• On a class of nearly holomorphic automorhic forms
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• Tensor products of holomorphic representations and bilinear differential operators
• Algebras of symbols and modular forms
• Function spaces and reproducing kernels on bounded symmetric domains
• A New Generalization of Hankel Operators (the Case of Higher Weights)
• RANKIN–COHEN TYPE DIFFERENTIAL OPERATORS FOR SIEGEL MODULAR FORMS
• Transvectants, modular forms, and the Heisenberg algebra.
• Shimura invariant differential operators and their eigenvalues

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