dc.contributor.author | Bezrukavnikov, Roman | |
dc.contributor.author | Riche, Simon | |
dc.date.accessioned | 2022-09-28T18:33:08Z | |
dc.date.available | 2022-09-28T18:33:08Z | |
dc.date.issued | 2022-05 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/145613 | |
dc.description.abstract | <jats:p>In this paper we construct an action of the affine Hecke category (in its ‘Soergel bimodules’ incarnation) on the principal block of representations of a simply connected semisimple algebraic group over an algebraically closed field of characteristic bigger than the Coxeter number. This confirms a conjecture of G. Williamson and the second author, and provides a new proof of the tilting character formula in terms of antispherical <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0010437X22007436_inline1.png" /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-Kazhdan–Lusztig polynomials.</jats:p> | en_US |
dc.language.iso | en | |
dc.publisher | Wiley | en_US |
dc.relation.isversionof | 10.1112/s0010437x22007436 | en_US |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
dc.source | arXiv | en_US |
dc.title | Hecke action on the principal block | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Bezrukavnikov, Roman and Riche, Simon. 2022. "Hecke action on the principal block." Compositio Mathematica, 158 (5). | |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
dc.relation.journal | Compositio Mathematica | en_US |
dc.eprint.version | Original manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
dc.date.updated | 2022-09-28T18:28:31Z | |
dspace.orderedauthors | Bezrukavnikov, R; Riche, S | en_US |
dspace.date.submission | 2022-09-28T18:28:32Z | |
mit.journal.volume | 158 | en_US |
mit.journal.issue | 5 | en_US |
mit.license | OPEN_ACCESS_POLICY | |
mit.metadata.status | Authority Work and Publication Information Needed | en_US |