Generalized Verma modules, \(b\)-functions of semi-invariants and duality for twisted \(D\)-modules on generalized flag manifolds

DOI10.1016/S1631-073X(02)02449-4zbMath1031.17005OpenAlexW1999964024MaRDI QIDQ699216

Corrado Marastoni

Publication date: 8 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02449-4

zbMATH Keywords

Verma modulesD-modulesgeneralized flag manifold

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Sheaves of differential operators and their modules, (D)-modules (32C38) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Duality theorems for analytic spaces (32C37)

Related Items (1)

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

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• The Riemann-Hilbert problem for holonomic systems
• Micro-local analysis of prehomogeneous vector spaces
• B-functions and holonomic systems. Rationality of roots of B-functions
• Highest weight modules and \(b\)-functions of semi-invariants
• Leray's quantization of projective duality
• Grassmann duality for -modules

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