Quantized rank R matrices
| dc.creator | Jakobsen, Hans Plesner | |
| dc.creator | Jøndrup, Søren | |
| dc.date | 1999-02-23 | |
| dc.date | 2001-05-23 | |
| dc.date.accessioned | 2026-07-07T05:28:00Z | |
| dc.date.available | 2026-07-07T05:28:00Z | |
| dc.description | First some old as well as new results about P.I. algebras, Ore extensions, and degrees are presented. Then quantized $n\times r$ matrices as well as quantized factor algebras of $M_q(n)$ are analyzed. The latter are the quantized function algebra of rank $r$ matrices obtained by working modulo the ideal generated by all $(r+1)\times (r+1)$ quantum subdeterminants and a certain localization of this algebra is proved to be isomorphic to a more manageable one. In all cases, the quantum parameter is a primitive $m$th roots of unity. The degrees and centers of the algebras are determined when $m$ is a prime and the general structure is obtained for arbitrary $m$. | |
| dc.description | 18 pages with 3 eps figures. Some proofs in Section 5 have been changed and a remark has been removed | |
| dc.identifier | https://arxiv.org/abs/math/9902133 | |
| dc.identifier | http://arxiv.org/abs/math/9902133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78140 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | Quantized rank R matrices | |
| dc.type | text |