Finite dimensional representations of rational Cherednik algebras
Representation Theory
2007-05-23 v3 Algebraic Geometry
Quantum Algebra
Rings and Algebras
Abstract
A complete classification and character formulas for finite-dimensional irreducible representations of the rational Cherednik algebra of type A is given. Less complete results for other types are obtained. Links to the geometry of affine flag manifolds and Hilbert schemes are discussed.
Keywords
Cite
@article{arxiv.math/0208138,
title = {Finite dimensional representations of rational Cherednik algebras},
author = {Yuri Berest and Pavel Etingof and Victor Ginzburg},
journal= {arXiv preprint arXiv:math/0208138},
year = {2007}
}
Comments
29 pp., LaTeX. Exposition improved, some details added