SL2-action on Hilbert Schemes and Calogero-Moser spaces

Bellamy, G. and Ginzburg, V. (2017) SL2-action on Hilbert Schemes and Calogero-Moser spaces. Michigan Mathematical Journal, 66(3), pp. 519-532. (doi: 10.1307/mmj/1496995337)

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We study the natural GL2GL2-action on the Hilbert scheme of points in the plane, resp. SL2SL2-action on the Calogero–Moser space. We describe the closure of the GL2GL2-orbit, resp. SL2SL2-orbit, of each point fixed by the corresponding diagonal torus. We also find the character of the representation of the group GL2GL2 in the fiber of the Procesi bundle and its Calogero–Moser analogue over the SL2SL2-fixed point.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Bellamy, Professor Gwyn
Authors: Bellamy, G., and Ginzburg, V.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Michigan Mathematical Journal
Publisher:University of Michigan, Department of Mathematics
ISSN (Online):1945-2365
Published Online:09 June 2017
Copyright Holders:Copyright © 2017 University of Michigan, Department of Mathematics
First Published:First published in Michigan Mathematical Journal 66(3): 519-532
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
662571Symplectic representation theoryGwyn BellamyEngineering & Physical Sciences Research Council (EPSRC)EP/N005058/1M&S - MATHEMATICS