On Some Finite Dimensional Representations of Symplectic Reflection Algebras Associated to Wreath Products

DOI10.1080/00927870601168855zbMath1155.16015arXivmath/0411286OpenAlexW2020267561MaRDI QIDQ3446644

Silvia Montarani

Publication date: 19 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0411286

zbMATH Keywords

deformationsirreducible representationsYoung diagramsfinite-dimensional representationssymplectic reflection algebrasextended Dynkin quiverscomplex-valued class functionssymplectic reflectionswreath product algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representations of quivers and partially ordered sets (16G20) Deformations of associative rings (16S80)

Related Items

Unitary representations of type B rational Cherednik algebras and crystal combinatorics ⋮ Generalized Jack polynomials and the representation theory of rational Cherednik algebras ⋮ Orthogonal functions generalizing Jack polynomials ⋮ Reflection functors and symplectic reflection algebras for wreath products. ⋮ Poincaré series, exponents of affine Lie algebras, and McKay-Slodowy correspondence

Cites Work

• Unnamed Item
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Deformed preprojective algebras and symplectic reflection algebras for wreath products.
• Noncommutative deformations of Kleinian singularities