Monomial bases for quantum affine sl_n
| dc.creator | Deng, Bangming | |
| dc.creator | Du, Jie | |
| dc.date | 2003-07-18 | |
| dc.date.accessioned | 2026-07-07T04:59:46Z | |
| dc.date.available | 2026-07-07T04:59:46Z | |
| dc.description | We use the idea of generic extensions to investigate the correspondence between the isomorphism classes of nilpotent representations of a cyclic quiver and the orbits in the corresponding representation varieties. We endow the set $\cal M$ of such isoclasses with a monoid structure and identify the submonoid $\cal M_c$ generated by simple modules. On the other hand, we use the partial ordering on the orbits (i.e., the Bruhat-Chevalley type ordering) to induce a poset structure on $\cal M$ and describe the poset ideals generated by an element of the submonoid $\cal M_c$ in terms of the existence of a certain composition series of the corresponding module. As applications of these results, we generalize some results of Ringel involving special words to results with no restriction on words and obtain a systematic description of many monomial bases for any given quantum affine ${\frak {sl}}_n$. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307257 | |
| dc.identifier | http://arxiv.org/abs/math/0307257 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68116 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37, 16G20 | |
| dc.title | Monomial bases for quantum affine sl_n | |
| dc.type | text |