Muthiah, D. and Tingley, P. (2018) Affine PBW bases and affine MV polytopes. Selecta Mathematica - New Series, 24(5), pp. 4781-4810. (doi: 10.1007/s00029-018-0436-9)
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Abstract
We show how affine PBW bases can be used to construct affine MV polytopes, and that the resulting objects agree with the affine MV polytopes recently constructed using either preprojective algebras or KLR algebras. To do this we first generalize work of Beck–Chari–Pressley and Beck–Nakajima to define affine PBW bases for arbitrary convex orders on positive roots. Our results describe how affine PBW bases for different convex orders are related, answering a question posed by Beck and Nakajima.
| Item Type: | Articles |
|---|---|
| Additional Information: | D.M. was supported by a PIMS Postdoctoral Fellowship. P.T. was partially supported by NSF Grant DMS-1265555. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Muthiah, Dr Dinakar |
| Authors: | Muthiah, D., and Tingley, P. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Selecta Mathematica - New Series |
| Publisher: | Springer |
| ISSN: | 1022-1824 |
| ISSN (Online): | 1420-9020 |
| Published Online: | 14 September 2018 |
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