On the classification of regular holonomic \(\mathcal D\)-modules on skew-symmetric matrices

DOI10.1016/j.jalgebra.2012.01.021zbMath1251.32009arXiv1404.4212OpenAlexW2011249235MaRDI QIDQ713395

Philibert Nang

Publication date: 29 October 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4212

zbMATH Keywords

linear representationsinvariant differential operatorsCapelli identity\(\mathcal D\)-modulesmultiplicity free spaces

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Complex surface and hypersurface singularities (32S25) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)

Related Items

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 \(\mathrm{Sp}(2n, \mathbb C)\times \mathrm{GL}(2,\mathbb C)\)

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