Quantization of the Marsden-Weinstein reduction for extended dynkin quivers

DOI10.1016/S0012-9593(00)87719-8zbMath1036.16024OpenAlexW1995012452MaRDI QIDQ4719219

Martin P. Holland

Publication date: 15 February 2000

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1999_4_32_6_813_0

zbMATH Keywords

rings of differential operatorsquantizationsregular representationsKleinian singularities

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Deformations of associative rings (16S80) Rings of differential operators (associative algebraic aspects) (16S32) Universal enveloping algebras of Lie algebras (16S30)

Related Items

Commutativity of quantization and reduction for quiver representations, Quantization of minimal resolutions of Kleinian singularities., Microlocal \(KZ\)-functors and rational Cherednik algebras., Isomorphisms of quantizations via quantization of resolutions, Derived equivalence for quantum symplectic resolutions, Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products., Harish-Chandra bimodules for quantized Slodowy slices, Representations of Gan-Ginzburg algebras., Semisimplicity of the category of admissible \(\mathcal{D}\)-modules, Harish-Chandra bimodules over quantized symplectic singularities, Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D, BRST cohomologies for symplectic reflection algebras and quantizations of hypertoric varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The construction of ALE spaces as hyper-Kähler quotients
• The rational invariants of the tame quivers
• Gelfand-Kirillov dimension and associated graded modules
• Differential operators on quotients of simple groups
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• Differential operators on homogeneous spaces. I: Irreducibility of the associated variety for annihilators of induced modules
• A Harish-Chandra homomorphism for reductive group actions
• Projective algebras, differential operators and a Conze embedding for deformations of Kleinian singularities
• Noncommutative deformations of Kleinian singularities
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Introduction to Grothendieck duality theory
• Rings of differential operators on classical rings of invariants
• Semisimple Representations of Quivers
• Sheaves of Noncommutative Algebras and the Beilinson-Bernstein Equivalence of Categories
• The preprojective algebra of a tame hereditary artin algebra
• Rings of Differential Operators on Invariant Rings of Tori
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• Invariants under tori of rings of differential operators and related topics
• Geometric Invariant Theory
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Lifting differential operators from orbit spaces