Sheaves of Noncommutative Algebras and the Beilinson-Bernstein Equivalence of Categories

DOI10.2307/2045596zbMath0566.14011OpenAlexW4247849228MaRDI QIDQ3680949

Timothy J. Hodges, S. Paul. Smith

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045596

zbMATH Keywords

generalized flag varietiessheaf of algebraic differential operatorssheaf of non-commutative noetherian algebras

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Module categories in associative algebras (16D90) Homological methods in Lie (super)algebras (17B55) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Noetherian rings and modules (associative rings and algebras) (16P40) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (6)

Certain associative algebras similar to \(U(sl_ 2)\) and Zhu's algebra \(A(V_ L)\) ⋮ D-modules and projective stacks ⋮ On Whittaker modules over a class of algebras similar to \(U ( sl _{2})\) ⋮ Differential operators on rational projective curves ⋮ The Beilinson-Bernstein correspondence for quantized enveloping algebras. ⋮ Quantization of the Marsden-Weinstein reduction for extended dynkin quivers

Cites Work

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• Modules of t-Finite Vectors Over Semi-Simple Lie Algebras
• Des catégories abéliennes

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