\(D\)-modules associated to the group of similitudes

DOI10.2977/prims/1195143950zbMath0958.35019OpenAlexW1986986354MaRDI QIDQ1974546

Philibert Nang

Publication date: 2 April 2001

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195143950

zbMATH Keywords

regular holonomic \(D\)-modules

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sheaves of differential operators and their modules, (D)-modules (32C38) Linear higher-order PDEs (35G05)

Related Items (11)

\(\mathcal D\)-modules on the complex projective space \(\mathbb{CP}^{n-1}\) associated to a quadric ⋮ \(\mathcal{D}\)-modules on representations of Capelli type ⋮ On a class of holonomic \(\mathcal D\)-modules on \(M_n(\mathbb C)\) related to the action of \(\mathrm{GL}_n(\mathbb C)\times \mathrm{GL}_n (\mathbb C)\) ⋮ \(\mathcal D\)-modules associated to \(3\times 3\) matrices. ⋮ On categories of equivariant \(\mathcal{D}\)-modules ⋮ \(\mathcal {D}\)-modules on a representation of \(\mathrm{Sp}(2n, \mathbb C)\times \mathrm{GL}(2,\mathbb C)\) ⋮ \({\mathcal D}\)-modules associated to the determinantal singularities ⋮ Algebraic description of \(\mathcal D\)-modules associated to \(3\times 3\) matrices. ⋮ \(\mathcal D\)-modules associated to the projective space of \(n\times n\) matrices. ⋮ Characteristic cycles of perverse sheaves and Milnor fibers ⋮ On the classification of regular holonomic \(\mathcal D\)-modules on skew-symmetric matrices

Cites Work

• \({\mathcal D}\)-modules et faisceaux pervers dont le support singulier est un croisement normal
• On the maximally overdetermined system of linear differential equations. I
• On the holonomic systems of linear differential equations. II
• On holonomic systems of microdifferential equations. III: Systems with regular singularities
• Variétés analytiques réelles et variétés analytiques complexes
• Algebraic study of systems of partial differential equations
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