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ToolsKleshchev, Alexander, Loubert, Joseph and Miemietz, Vanessa (2013) Affine cellularity of Khovanov-Lauda-Rouquier algebras in type A. Journal of the London Mathematical Society-Second Series, 88 (2). pp. 338-358. ISSN 0024-6107
Full text not available from this repository.Abstract
We prove that the Khovanov–Lauda–Rouquier algebras Ra of type A8 are (graded) affine cellular in the sense of Koenig and Xi. In fact, we establish a stronger property, namely that the affine cell ideals in Ra are generated by idempotents. This, in particular, implies the (known) result that the global dimension of Ra is finite, and yields a theory of standard and proper standard modules for Ra.
| Item Type: | Article |
|---|---|
| Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
| UEA Research Groups: | Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory |
| Depositing User: | Pure Connector |
| Date Deposited: | 22 Aug 2013 05:26 |
| Last Modified: | 07 Nov 2024 12:36 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/43153 |
| DOI: | 10.1112/jlms/jdt023 |
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