On a class of holonomic \(\mathcal D\)-modules on \(M_n(\mathbb C)\) related to the action of \(\mathrm{GL}_n(\mathbb C)\times \mathrm{GL}_n (\mathbb C)\)
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Publication:2427563
DOI10.1016/j.aim.2008.01.001zbMath1153.32015OpenAlexW2091348659MaRDI QIDQ2427563
Publication date: 13 May 2008
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2008.01.001
invariant differential operatorsCapelli identity\(\mathcal D\)-modulesholonomic \(\mathcal D\)-modulesinvariant sectionshomogeneous sections
Related Items (6)
Local Cohomology—An Invitation ⋮ \(\mathcal{D}\)-modules on representations of Capelli type ⋮ Characters of equivariant -modules on spaces of matrices ⋮ On categories of equivariant \(\mathcal{D}\)-modules ⋮ \(\mathcal {D}\)-modules on a representation of \(\mathrm{Sp}(2n, \mathbb C)\times \mathrm{GL}(2,\mathbb C)\) ⋮ On the classification of regular holonomic \(\mathcal D\)-modules on skew-symmetric matrices
Cites Work
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- The Capelli identity, the double commutant theorem, and multiplicity-free actions
- \({\mathcal D}\)-modules et faisceaux pervers dont le support singulier est un croisement normal
- Elementary construction of perverse sheaves
- Perverse sheaves with singularities along the curve \(y^ n=x^ m\)
- On the characteristic variety of a holonomic system with regular singularities
- On holonomic systems of microdifferential equations. III: Systems with regular singularities
- \(D\)-modules associated to the group of similitudes
- Perverse sheaves on rank stratifications
- Singular Points of Complex Hypersurfaces. (AM-61)
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