Rings of Differential Operators on Invariant Rings of Tori

DOI10.2307/2000698zbMath0628.13019OpenAlexW4244650254MaRDI QIDQ3764251

Ian M. Musson

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000698

zbMATH Keywords

regular functionsdifferential operators on the invariant ring of torus action

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Geometric invariant theory (14L24) Morphisms of commutative rings (13B10) Modules of differentials (13N05)

Related Items

Differential operators on toric varieties, Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands, Bernstein-Sato Polynomials in Commutative Algebra, Local Cohomology—An Invitation, Noetherian properties of rings of differential operators of affine semigroup algebras., Rings of differential operators on toric varieties, Lifting differential operators from orbit spaces, Some rings of differential operators for \(\text{Sl}_ 2\)-invariants are simple, \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands, Differentially fixed ideals in affine semigroup rings, Differential operators on monomial curves., Differential operators, retracts, and toric face rings, First Syzygies of irreducible \(A\)-hypergeometric quotients, Unnamed Item, $D$-module structure of local cohomology modules of toric algebras, Primitive ideals of the ring of differential operators on a affine toric variety, Bernstein -- Sato polynomials on normal toric varieties, Finite dimensional representations of invariant differential operators, \({\mathcal D}\)-modules on smooth toric varieties, Gelfand-Kirillov dimension and associated graded modules, Quantization of the Marsden-Weinstein reduction for extended dynkin quivers, An illustrated view of differential operators of a reduced quotient of an affine semigroup ring, Quantifying singularities with differential operators

Cites Work

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• Toroidal embeddings. I
• Hilbert functions of graded algebras
• Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
• Opérateurs différentiels sur les espaces analytiques
• Actions of tori on weyl algebras
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes