| dc.contributor.author | Young, Charles | |
| dc.date.accessioned | 2017-07-18T15:30:01Z | |
| dc.date.available | 2017-07-18T15:30:01Z | |
| dc.date.issued | 2015-12-01 | |
| dc.identifier.citation | Young , C 2015 , ' Quantum loop algebras and l-root operators ' , Transformation Groups , vol. 20 , no. 4 , pp. 1195-1226 . https://doi.org/10.1007/s00031-015-9339-4 | |
| dc.identifier.issn | 1083-4362 | |
| dc.identifier.other | ORCID: /0000-0002-7490-1122/work/55503496 | |
| dc.identifier.uri | http://hdl.handle.net/2299/18970 | |
| dc.description | This is the accepted manuscript of the following article: Charles Young, “Quantum loop algebras and l-root operators”, Transformation Groups, Vol. 20(4): 1195-1226, September 2015. The final published version is available at: https://link.springer.com/article/10.1007%2Fs00031-015-9339-4 © Springer Science+Business Media New York (2015) | |
| dc.description.abstract | Let g be a simple Lie algebra and q transcendental. We consider the category C_P of finite-dimensional representations of the quantum loop algebra Uq(Lg) in which the poles of all l-weights belong to specified finite sets P. Given the data (g,q,P), we define an algebra A whose raising/lowering operators are constructed to act with definite l-weight (unlike those of Uq(Lg) itself). It is shown that there is a homomorphism Uq(Lg) -> A such that every representation V in C_P is the pull-back of a representation of A. | en |
| dc.format.extent | 32 | |
| dc.format.extent | 925737 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Transformation Groups | |
| dc.title | Quantum loop algebras and l-root operators | en |
| dc.contributor.institution | School of Physics, Astronomy and Mathematics | |
| dc.description.status | Peer reviewed | |
| dc.identifier.url | http://arxiv.org/abs/1206.6657 | |
| rioxxterms.versionofrecord | 10.1007/s00031-015-9339-4 | |
| rioxxterms.type | Journal Article/Review | |
| herts.preservation.rarelyaccessed | true | |
