Calogero-Moser space and Kostka polynomials

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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 × 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. A similar result is proved for a cyclic version of the Calogero-Moser space. © 2002 Elsevier Science (USA).

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APA

Finkelberg, M., & Ginzburg, V. (2002). Calogero-Moser space and Kostka polynomials. Advances in Mathematics, 172(1), 137–150. https://doi.org/10.1006/aima.2002.2083

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