Left-Covariant Differential Calculi on SL_q(2) and SL_q(3)
| dc.creator | Schm"udgen, Konrad | |
| dc.creator | Sch"uler, Axel | |
| dc.date | 1996-01-19 | |
| dc.date.accessioned | 2026-07-07T09:16:48Z | |
| dc.date.available | 2026-07-07T09:16:48Z | |
| dc.description | We study $N^2-1$ dimensional left-covariant differential calculi on the quantum group $SL_q(N)$ for which the generators of the quantum Lie algebras annihilate the quantum trace. In this way we obtain one distinguished calculus on $SL_q(2)$ (which corresponds to Woronowicz' 3D-calculus on $SU_q(2)$) and two distinguished calculi on $SL_q(3)$ such that the higher order calculi give the ordinary differential calculus on $SL(2)$ and $SL(3)$, respectively, in the limit $q\rightarrow 1$. Two new differential calculi on $SL_q(3)$ are introduced and developed in detail. | |
| dc.description | 18 pages, Plain-TEX, to appear in J. Geom. and Phys | |
| dc.identifier | https://arxiv.org/abs/q-alg/9601020 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9601020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153484 | |
| dc.subject | Quantum Algebra | |
| dc.title | Left-Covariant Differential Calculi on SL_q(2) and SL_q(3) | |
| dc.type | text |