Some rings of differential operators for \(\text{Sl}_ 2\)-invariants are simple

DOI10.1016/0022-4049(95)00072-0zbMath0871.16014OpenAlexW2052593592MaRDI QIDQ1919569

Michel Van den Bergh

Publication date: 5 August 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00072-0

zbMATH Keywords

reductive groupssimple ringsreducible modulesrings of differential operators of invariant rings

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Actions of groups on commutative rings; invariant theory (13A50) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (8)

The Frobenius morphism in invariant theory ⋮ Graded cofinite rings of differential operators. ⋮ Finite dimensional representations of invariant differential operators ⋮ Invariant differential operators on the tangent space of some symmetric spaces ⋮ Equivariant \(D\)-modules attached to nilpotent orbits in a semisimple Lie algebra ⋮ Preservation of defect sub-schemes by the action of the tangent sheaf ⋮ The Frobenius morphism in invariant theory. II ⋮ Finite-dimensional representations of invariant differential operators

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