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Equivariant maps between Calogero-Moser spaces

2010/09/19 by George Wilson, Wilson, George
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.1009.3660

Abstract

This is a footnote to earlier joint work with Yu. Berest, which constructed a bijection between the space of ideal classes of the Weyl algebra and a union of Calogero-Moser varieties. A key property of this bijection is that it is equivariant with respect to the action of the automorphism group of the Weyl algebra: the main result of the present note is that it is uniquely determined by that property.

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