Conformally invariant systems of differential operators

DOI10.1016/j.aim.2009.01.006zbMath1163.22007OpenAlexW2058690558MaRDI QIDQ1018416

Roger Zierau, Anthony C. Kable, Leticia Barchini

Publication date: 19 May 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2009.01.006

zbMATH Keywords

intertwining operatorflag manifoldLie algebrageneralized Verma moduledouble coset

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (13)

Special values for conformally invariant systems associated to maximal parabolics of quasi-Heisenberg type ⋮ On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras ⋮ Conformally invariant systems of differential operators associated to maximal parabolics of quasi-Heisenberg type ⋮ The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions ⋮ Reducibility of generalized Verma modules for Hermitian symmetric pairs ⋮ The Dynkin index and conformally invariant systems associated to parabolic subalgebras of Heisenberg type ⋮ Novel scaling limits for critical inhomogeneous random graphs ⋮ Unnamed Item ⋮ Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type ⋮ \(K\)-finite solutions to conformally invariant systems of differential equations ⋮ On the space of 𝐾-finite solutions to intertwining differential operators ⋮ Deficient homomorphisms between generalized Verma modules ⋮ Leading weight vectors and homomorphisms between generalized Verma modules

Cites Work

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• A duality theorem for extensions of induced highest weight modules
• Intertwining differential operators and reducibility of generalized Verma modules
• Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type
• Differential operators and highest weight representations

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