Biswas, D and Habib, I and Venkatesh, R (2023) On symmetric closed subsets of real affine root systems. In: Journal of Algebra, 628 . pp. 212-240.
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Official URL: https://doi.org/10.1016/j.jalgebra.2023.03.017
Abstract
Any symmetric closed subset of a finite crystallographic root system must be a closed subroot system. This is not, in general, true for real affine root systems. In this paper, we determine when this is true and also give a very explicit description of symmetric closed subsets of real affine root systems. At the end, using our results, we study the correspondence between symmetric closed subsets of real affine root systems and the regular subalgebras generated by them. © 2023 Elsevier Inc.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Algebra |
| Publisher: | Academic Press Inc. |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Affine Kac-Moody algebras; Closed subsets; Root systems |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 21 Apr 2023 09:48 |
| Last Modified: | 21 Apr 2023 09:48 |
| URI: | https://eprints.iisc.ac.in/id/eprint/81350 |
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