| dc.contributor.author | Etingof, Pavel I | |
| dc.date.accessioned | 2018-10-19T18:21:40Z | |
| dc.date.available | 2018-10-19T18:21:40Z | |
| dc.date.issued | 2016-05 | |
| dc.date.submitted | 2014-07 | |
| dc.identifier.issn | 0001-8708 | |
| dc.identifier.issn | 1090-2082 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/118626 | |
| dc.description.abstract | We define and study representation categories based on Deligne categories Rep(GL[subscript t]),Rep(O[subscript t]),Rep(Sp₂t), where t is any (non-integer) complex number. Namely, we define complex rank analogs of the parabolic category O and the representation categories of real reductive Lie groups and supergroups, affine Lie algebras, and Yangians. We develop a framework and language for studying these categories, prove basic results about them, and outline a number of directions of further research. Keywords: Deligne category; Symmetric tensor category; Complex rank | en_US |
| dc.publisher | Elsevier BV | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/J.AIM.2016.03.025 | en_US |
| dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs License | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Representation theory in complex rank, II | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Etingof, Pavel. “Representation Theory in Complex Rank, II.” Advances in Mathematics 300 (September 2016): 473–504 © 2016 Elsevier Inc | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Etingof, Pavel I | |
| dc.relation.journal | Advances in Mathematics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2018-09-25T17:27:12Z | |
| dspace.orderedauthors | Etingof, Pavel | en_US |
| dspace.embargo.terms | N | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-0710-1416 | |
| mit.license | PUBLISHER_CC | en_US |
