Calogero-Moser space and Kostka polynomials
Representation Theory
2007-05-23 v2 Algebraic Geometry
Quantum Algebra
Abstract
We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n by n matrices to their eigenvalues. We show that the character of a natural C^*-action on the scheme-theoretic zero fiber of this map is given by Kostka polynomials.
Cite
@article{arxiv.math/0110190,
title = {Calogero-Moser space and Kostka polynomials},
author = {Michael Finkelberg and Victor Ginzburg},
journal= {arXiv preprint arXiv:math/0110190},
year = {2007}
}
Comments
12pp., LaTeX