dc.contributor.author | Young, Charles A. S. | |
dc.contributor.author | Mukhin, Evgeny | |
dc.date.accessioned | 2014-07-17T14:00:11Z | |
dc.date.available | 2014-07-17T14:00:11Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Young , C A S & Mukhin , E 2014 , ' Affinization of category O for quantum groups ' , Transactions of the American Mathematical Society , vol. 366 , pp. 4815-4847 . https://doi.org/10.1090/S0002-9947-2014-06039-X | |
dc.identifier.issn | 0002-9947 | |
dc.identifier.other | ORCID: /0000-0002-7490-1122/work/55503507 | |
dc.identifier.uri | http://hdl.handle.net/2299/13958 | |
dc.description.abstract | Let g be a simple Lie algebra. We consider the category ˆO of those modules over the affine quantum group Uq(bg) whose Uq(g)-weights have finite multiplicity and lie in a finite union of cones generated by negative roots. We show that many properties of the category of the finite-dimensional representations naturally extend to the category ˆO . In particular, we develop the theory of q-characters and define the minimal affinizations of parabolic Verma modules. In types ABCFG we classify these minimal affinizations and conjecture a Weyl denominator type formula for their characters. | en |
dc.format.extent | 339122 | |
dc.language.iso | eng | |
dc.relation.ispartof | Transactions of the American Mathematical Society | |
dc.subject | Quantum Affine Algebras | |
dc.subject | Representation Theory | |
dc.subject | Quantum Groups | |
dc.title | Affinization of category O for quantum groups | en |
dc.contributor.institution | School of Physics, Astronomy and Mathematics | |
dc.contributor.institution | Science & Technology Research Institute | |
dc.description.status | Peer reviewed | |
dc.identifier.url | http://arxiv.org/abs/1204.2769 | |
rioxxterms.versionofrecord | 10.1090/S0002-9947-2014-06039-X | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |