Radial Components, Prehomogeneous Vector Spaces, and Rational Cherednik Algebras
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Publication:3613889
DOI10.1093/imrn/rnn137zbMath1167.22006arXiv0801.1289OpenAlexW2964248607MaRDI QIDQ3613889
Publication date: 16 March 2009
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0801.1289
Rings of differential operators (associative algebraic aspects) (16S32) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
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\(\mathcal{D}\)-modules on representations of Capelli type ⋮ Local cohomology on a subexceptional series of representations ⋮ 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 ⋮ Algebras of invariant differential operators on a class of multiplicity free spaces. ⋮ Characters of equivariant 𝒟-modules on Veronese cones
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