Special values for conformally invariant systems associated to maximal parabolics of quasi-Heisenberg type

DOI10.1090/S0002-9947-2014-06217-XzbMath1298.22016arXiv1209.1861MaRDI QIDQ3190727

Toshihisa Kubo

Publication date: 19 September 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1861

zbMATH Keywords

real flag manifoldintertwining differential operatorconformally invariant systems

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

Conformally invariant systems of differential operators associated to maximal parabolics of quasi-Heisenberg type ⋮ Unnamed Item

Cites Work

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• Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras
• On certain conformally invariant systems of differential equations
• Conformally invariant systems of differential operators associated to maximal parabolics of quasi-Heisenberg type
• The Heisenberg ultrahyperbolic equation: the basic solutions as distributions
• A system of third-order differential operators conformally invariant under \(\mathfrak {sl}(3,\mathbb C)\) and \(\mathfrak {so}(8,\mathbb C)\)
• \(K\)-finite solutions to conformally invariant systems of differential equations
• Conformally invariant systems of differential operators
• Intertwining differential operators and reducibility of generalized Verma modules
• Analysis on the minimal representation of O(\(p,\) \(q\)). III: Ultrahyperbolic equations on \(\mathbb{R}^{p-1,q-1}\)
• The Heisenberg ultrahyperbolic equation: \(K\)-finite and polynomial solutions
• The Dynkin index and conformally invariant systems associated to parabolic subalgebras of Heisenberg type
• Systems of differential operators and generalized Verma modules
• Conformally invariant systems of differential equations and prehomogeneous vector spaces of Heisenberg parabolic type
• On the homomorphisms between the generalized Verma modules arising from conformally invariant systems
• The Analytic Continuation of the Discrete Series.I
• Differential operators and highest weight representations
• Decomposition of a direct product of irreducible representations of a semisimple lie algebra into a direct sum of irreducible representations
• Introduction to Lie Algebras and Representation Theory
• Lie groups beyond an introduction

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