Integral geometry for \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathcal {D}}$\end{document}‐modules on dual flag manifolds and generalized Verma modules

DOI10.1002/mana.201200149zbMath1272.35012OpenAlexW1971579328MaRDI QIDQ5325959

Corrado Marastoni

Publication date: 31 July 2013

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

Full work available at URL: https://doi.org/10.1002/mana.201200149

zbMATH Keywords

integral transformssemisimple algebraic group

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10)

Cites Work

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• Generalized Verma modules, \(b\)-functions of semi-invariants and duality for twisted \(D\)-modules on generalized flag manifolds
• The Riemann-Hilbert problem for holonomic systems
• Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
• Highest weight modules and \(b\)-functions of semi-invariants
• Radon transforms for quasi-equivariant \(\mathcal D\)-modules on generalized flag manifolds
• Real forms of the Radon-Penrose transform
• Leray's quantization of projective duality
• Radon-Penrose transform for \({\mathcal D}\)-modules
• Equivariant Derived Category and Representation of Real Semisimple Lie Groups

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