LINEAR CONNECTIONS ON THE 2-PARAMETER QUANTUM PLANE

Authors
GEORGELIN Y WALLET JC MASSON T
Citation
Y. Georgelin et al., LINEAR CONNECTIONS ON THE 2-PARAMETER QUANTUM PLANE, Reviews in mathematical physics, 8(8), 1996, pp. 1055-1060
Citations number
12
Categorie Soggetti
Physycs, Mathematical
Journal title
Reviews in mathematical physics → ACNP
ISSN journal
0129055X
Volume
8
Issue
8
Year of publication
1996
Pages
1055 - 1060
Database
ISI
SICI code
0129-055X(1996)8:8<1055:LCOT2Q>2.0.ZU;2-9
Abstract
We apply a recently proposed definition of a linear connection in non- commutative geometry based on the natural bimodule structure of the al gebra of differential forms to the case of the two-parameter quantum p lane. We find that there exists a non-trivial family of linear connect ions only when the two parameters obey a specific relation.