DIFFERENTIAL-ALGEBRAS IN NONCOMMUTATIVE GEOMETRY

Authors
KALAU W PAPADOPOULOS NA PLASS J WARZECHA JM
Citation
W. Kalau et al., DIFFERENTIAL-ALGEBRAS IN NONCOMMUTATIVE GEOMETRY, Journal of geometry and physics, 16(2), 1995, pp. 149-167
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
16
Issue
2
Year of publication
1995
Pages
149 - 167
Database
ISI
SICI code
0393-0440(1995)16:2<149:DING>2.0.ZU;2-L
Abstract
We discuss the differential algebras used in Connes' approach to Yang- Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions X matrix are show n to be skew tenser products of differential forms with a specific mat rix algebra. For that we derive a general formula for differential alg ebras based on tenser products of algebras. The result is used to char acterize differential algebras which appear in models with one symmetr y breaking scab.