Radon transforms for quasi-equivariant \(\mathcal D\)-modules on generalized flag manifolds

DOI10.1016/S0926-2245(02)00145-6zbMath1037.35040arXivmath/9911095OpenAlexW2012426230WikidataQ115338106 ScholiaQ115338106MaRDI QIDQ1405254

Corrado Marastoni, Toshiyuki Tanisaki

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911095

zbMATH Keywords

Grothendieck groupsreductive algebraic group

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) 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) Higher-order hyperbolic equations (35L25)

Related Items

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

Cites Work

• Homogeneous vector bundles
• Integral geometry on Grassmann manifolds and calculus of invariant differential operators
• A generalization of the Bernstein-Gelfand-Gelfand resolution
• Radon-Penrose transform for \({\mathcal D}\)-modules
• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module
• Grassmann duality for -modules
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