Calogero-Moser Space and Kostka Polynomials

✍ Scribed by Michael Finkelberg; Victor Ginzburg

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 181 KB
• Volume: 172
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1006/aima.2002.2083

✦ Synopsis

We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n  n-matrices to their eigenvalues. We show that the character of a natural C n -action on the schemetheoretic zero fiber of this map is given by Kostka polynomials. A similar result is proved for a cyclic version of the Calogero-Moser space.