Deformed preprojective algebras and symplectic reflection algebras for wreath products.

DOI10.1016/j.jalgebra.2004.08.007zbMath1133.16013arXivmath/0401038OpenAlexW1981667256MaRDI QIDQ1770506

Victor Ginzburg, Wee Liang Gan

Publication date: 7 April 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401038

zbMATH Keywords

wreath productssymplectic reflection algebraspreprojective algebrasaffine Dynkin quiversone-parameter deformations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of quivers and partially ordered sets (16G20) Deformations of associative rings (16S80)

Related Items (max. 100)

Unnamed Item ⋮ On Some Finite Dimensional Representations of Symplectic Reflection Algebras Associated to Wreath Products ⋮ Orthogonal pairs and mutually unbiased bases ⋮ Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces ⋮ Dirac cohomology for symplectic reflection algebras ⋮ Quantized multiplicative quiver varieties. ⋮ PBW-deformation theory and regular central extensions ⋮ Stratifications of Marsden-Weinstein reductions for representations of quivers and deformations of symplectic quotient singularities ⋮ Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products. ⋮ Quantum algebras and symplectic reflection algebras for wreath products ⋮ Reflection functors and symplectic reflection algebras for wreath products. ⋮ Representations of Gan-Ginzburg algebras. ⋮ PBW deformations of a Fomin-Kirillov algebra and other examples ⋮ Multivariable Wilson polynomials and degenerate Hecke algebras ⋮ Generalized double affine Hecke algebras of higher rank

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities
• Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
• Noncommutative deformations of Kleinian singularities

This page was built for publication: Deformed preprojective algebras and symplectic reflection algebras for wreath products.