UNIVERSAL Z(N)-GRADED DIFFERENTIAL-CALCULUS

Authors
DUBOISVIOLETTE M KERNER R
Citation
M. Duboisviolette et R. Kerner, UNIVERSAL Z(N)-GRADED DIFFERENTIAL-CALCULUS, Journal of geometry and physics, 23(3-4), 1997, pp. 235-246
Citations number
13
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
23
Issue
3-4
Year of publication
1997
Pages
235 - 246
Database
ISI
SICI code
0393-0440(1997)23:3-4<235:UZD>2.0.ZU;2-6
Abstract
We investigate the properties of differential algebras generated by an operator d satisfying the property d(N)=0 instead of d(2)=0 as in the usual case. Several examples of realizations of such differential alg ebras are given, either in the context of Z(N)-graded N x N matrix alg ebras, or as a generalized differential calculus on manifolds.