Calogero-Moser space and Kostka polynomials

Details Calogero-Moser space and Kostka polynomials Calogero-Moser space and Kostka polynomials

2001-10-17

arxiv.org/abs/math/0110190v2

Mathematics

Representation Theory

12pp., LaTeX

Scientific paper

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.

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