Classification of Bicovariant Differential Calculi
| dc.creator | Majid, S. | |
| dc.date | 1996-08-21 | |
| dc.date | 1996-09-05 | |
| dc.date.accessioned | 2026-07-07T09:08:41Z | |
| dc.date.available | 2026-07-07T09:08:41Z | |
| dc.description | We show that the bicovariant first order differential calculi on a factorisable semisimple quantum group are in 1-1 correspondence with irreducible representations $V$ of the quantum group enveloping algebra. The corresponding calculus is constructed and has dimension $dim V^2$. The differential calculi on a finite group algebra $C G$ are also classified and shown to be in correspondence with pairs consisting of an irreducible representation $V$ and a continuous parameter in $C P^{dim V -1}$. They have dimension $dim V$. For a classical Lie group we obtain an infinite family of non-standard calculi. General constructions for bicovariant calculi and their quantum tangent spaces are also obtained. | |
| dc.description | LATEX 25pp. no figs. Revised to clarify remarks re. Prop 2.5 | |
| dc.identifier | https://arxiv.org/abs/q-alg/9608016 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9608016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150809 | |
| dc.subject | Quantum Algebra | |
| dc.title | Classification of Bicovariant Differential Calculi | |
| dc.type | text |