Basic covariant differential operators on hermitian symmetric spaces

DOI10.24033/asens.1494zbMath0619.32022OpenAlexW2562462943MaRDI QIDQ3755762

Hans Plesner Jakobsen

Publication date: 1985

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1985_4_18_3_421_0

zbMATH Keywords

Hermitian symmetric spacegeneralized Verma modulesholomorphically induced representationscovariant differential operator

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Sheaves of differential operators and their modules, (D)-modules (32C38)

Related Items

On Reducibility Criterions for Scalar Generalized Verma Modules Associated to Maximal Parabolic Subalgebras, A multiplicity one theorem for holomorphically induced representations, The Kazhdan-Lusztig conjecture for generalized Verma modules, Determinantal ideals and the canonical commutation relations: classically or quantized, Reducibility of generalized Verma modules for Hermitian symmetric pairs, On the extension of Nash functions, A comparison theory for the structure of induced representations. II, The homomorphisms between scalar generalized Verma modules associated to maximal parabolic subalgebras, Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type, Covariant differential operators, Unnamed Item, Intertwining differential operators and reducibility of generalized Verma modules, Composition series for analytic continuations of holomorphic discrete series representations of \(\text{SU}_{p,q}\), On the homomorphisms between scalar generalized Verma modules

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