Bellamy, G. and Boos, M. (2020) The (cyclic) enhanced nilpotent cone via quiver representations. Manuscripta Mathematica, 161(3-4), pp. 333-362. (doi: 10.1007/s00229-018-1098-9)
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Abstract
The GL(V )-orbits in the enhanced nilpotent cone V × N are (essentially) in bijection with the orbits of a certain parabolic P ⊆ GL(V ) (the mirabolic subgroup) in the nilpotent cone N. We give a new parameterization of the orbits in the enhanced nilpotent cone, in terms of representations of the underlying quiver. This parameterization generalizes naturally to the enhanced cyclic nilpotent cone. Our parameterizations are different from the previous ones that have appeared in the literature. Explicit translations between the different parametrizations are given.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Bellamy, Professor Gwyn |
| Authors: | Bellamy, G., and Boos, M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Manuscripta Mathematica |
| Publisher: | Springer |
| ISSN: | 0025-2611 |
| ISSN (Online): | 1432-1785 |
| Published Online: | 17 December 2018 |
| Copyright Holders: | Copyright © 2018 The Authors |
| First Published: | First published in Manuscripta Mathematica 161(3-4): 333-362 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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