Brundan, Jonathan, Topley, Lewis (2018) The p-Centre of Yangians and Shifted Yangians. Moscow Mathematical Journal, 18 (4). pp. 617-657. ISSN 1609-4514. (doi:10.17323/1609-4514-2018-18-4-617-657) (KAR id:72707)
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| Official URL: https://doi.org/10.17323/1609-4514-2018-18-4-617-6... |
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Abstract
We study the Yangian Yn associated to the general linear Lie algebra gln
over a field of positive characteristic, as well as its shifted analog Ynp?q. Our main result
gives a description of the centre of Ynp?q: it is a polynomial algebra generated by its
Harish-Chandra centre (which lifts the centre in characteristic zero) together with a large
p-centre. Moreover, Ynp?q is free as a module over its center. In future work, it will be
seen that every reduced enveloping algebra U?pglnq is Morita equivalent to a quotient
of an appropriate choice of shifted Yangian, and so our results will have applications in
classical representation theory.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.17323/1609-4514-2018-18-4-617-657 |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Lewis Topley |
| Date Deposited: | 21 Feb 2019 10:53 UTC |
| Last Modified: | 05 Nov 2024 12:35 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/72707 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Topley, Lewis.
| Creator's ORCID: |
 https://orcid.org/0000-0002-4701-4384
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