Generalized Drinfeld polynomials for highest weight vectors of the Borel subalgebra of the $sl_2$ loop algebra
| dc.creator | Deguchi, Tetsuo | |
| dc.date | 2006-06-30 | |
| dc.date.accessioned | 2026-07-07T07:16:56Z | |
| dc.date.available | 2026-07-07T07:16:56Z | |
| dc.description | In a Borel subalgebra U(B) of the sl(2) loop algebra, we introduce a highest weight vector $Ψ$. We call such a representation of U(B) that is generated by $Ψ$ highest weight. We define a generalization of the Drinfeld polynomial for a finite-dimensional highest weight representation of U(B). We show that every finite-dimensional highest weight representation of the Borel subalgebra is irreducible if the evaluation parameters are distinct. We also discuss the necessary and sufficient conditions for a finite-dimensional highest weight representation of U(B) to be irreducible. | |
| dc.description | 10 pages, no figure, to appear in the proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, August 20-26, 2005, Nankai Institute of Mathematics, Tianjin, China | |
| dc.identifier | https://arxiv.org/abs/math-ph/0606071 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0606071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113772 | |
| dc.subject | Mathematical Physics | |
| dc.title | Generalized Drinfeld polynomials for highest weight vectors of the Borel subalgebra of the $sl_2$ loop algebra | |
| dc.type | text |