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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Abstract
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 |
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Status: | Published |
Refereed: | Yes |
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: | 0026-2285 |
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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