Projective modules in the category \(\mathcal O\) for the Cherednik algebra.

DOI10.1016/S0022-4049(03)00014-8zbMath1041.20003OpenAlexW2063326628MaRDI QIDQ1399143

Nicolas Guay

Publication date: 30 July 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(03)00014-8

zbMATH Keywords

affine Hecke algebrascomplex reflection groupshighest weight categoriesrational Cherednik algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representation theory of associative rings and algebras (16G99)

Related Items (9)

An algebraic approach to the \(\mathrm{KZ}\)-functor for rational Cherednik algebras associated with cyclic groups ⋮ Microlocal \(KZ\)-functors and rational Cherednik algebras. ⋮ Projective-injective modules, Serre functors and symmetric algebras ⋮ Cherednik algebras and differential operators on quasi-invariants. ⋮ On the category \(\mathcal O\) for rational Cherednik algebras. ⋮ Blocks of category \(\mathcal O\) for rational Cherednik algebras and of cyclotomic Hecke algebras of type \(G(r,p,n)\). ⋮ Category \(\mathcal O\) over a deformation of the symplectic oscillator algebra. ⋮ Rational Cherednik algebras and Hilbert schemes. II: Representations and sheaves ⋮ Rational Cherednik algebras and Hilbert schemes

Cites Work

• Cherednik algebras and differential operators on quasi-invariants.
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• DUNKL OPERATORS FOR COMPLEX REFLECTION GROUPS
• Koszul Duality Patterns in Representation Theory
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