{"paper":{"title":"The p-centre of Yangians and shifted Yangians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Jonathan Brundan, Lewis Topley","submitted_at":"2017-10-12T22:25:58Z","abstract_excerpt":"We study the Yangian $Y_n$ associated to the general linear Lie algebra $\\mathfrak{gl}_n$ over a field of positive characteristic, as well as its shifted analog $Y_n(\\sigma)$. Our main result gives a description of the centre of $Y_n(\\sigma)$: 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, $Y_n(\\sigma)$ is free as a module over its center. In future work, it will be seen that every reduced enveloping algebra $U_\\chi(\\mathfrak{gl}_n)$ is Morita equivalent to a quotient of an appropriat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04739","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}