Some remarks on quantized Lie superalgebras of classical type
| dc.creator | Geer, Nathan | |
| dc.date | 2005-08-23 | |
| dc.date | 2007-04-26 | |
| dc.date.accessioned | 2026-07-07T07:58:16Z | |
| dc.date.available | 2026-07-07T07:58:16Z | |
| dc.description | In this paper we use the Etingof-Kazhdan quantization of Lie bi-superalgebras to investigate some interesting questions related to Drinfeld-Jimbo type superalgebra associated to a Lie superalgebra of classical type. It has been shown that the D-J type superalgebra associated to a Lie superalgebra of type A-G, with the distinguished Cartan matrix, is isomorphic to the E-K quantization of the Lie superalgebra. The first main result in the present paper is to extend this to arbitrary Cartan matrices. This paper also contains two other main results: 1) a theorem stating that all highest weight modules of a Lie superalgebra of type A-G can be deformed to modules over the corresponding D-J type superalgebra and 2) a super version of the Drinfeld-Kohno Theorem. | |
| dc.description | This version has minor corrections asked for by the referee | |
| dc.identifier | https://arxiv.org/abs/math/0508440 | |
| dc.identifier | http://arxiv.org/abs/math/0508440 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127948 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.title | Some remarks on quantized Lie superalgebras of classical type | |
| dc.type | text |