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\(\mathcal {D}\)-modules on a representation of \(\mathrm{Sp}(2n, \mathbb C)\times \mathrm{GL}(2,\mathbb C)\) - MaRDI portal

\(\mathcal {D}\)-modules on a representation of \(\mathrm{Sp}(2n, \mathbb C)\times \mathrm{GL}(2,\mathbb C)\) (Q2255276)

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\(\mathcal {D}\)-modules on a representation of \(\mathrm{Sp}(2n, \mathbb C)\times \mathrm{GL}(2,\mathbb C)\)
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    \(\mathcal {D}\)-modules on a representation of \(\mathrm{Sp}(2n, \mathbb C)\times \mathrm{GL}(2,\mathbb C)\) (English)
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    9 February 2015
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    The author gives an algebraic classification of regular holonomic \(\mathcal D\)-modules on \((\mathbb{C}^{2n})^2\) related to the action of the group \(\mathrm{Sp}(2n,\mathbb{C})\times \mathrm{GL}(2,\mathbb{C})\). This result is used to prove Levasseur's conjecture in this case.
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    regular holonomic \(\mathcal D\)-modules
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    Cappeli condition
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