FERMIONS IN NCG-INSPIRED MODELS

Fermions are introduced by means of the bigraded algebra formalism, de signed for the construction of models with spontaneously broken gauge symmetry in the general context of non-commutative geometry (NCG). Rep resentations are derived from the general unitary group SU (n + 1) emp loyed as a prototype in a C2,4 algebra, In the explicitly illustrated n = 2 case of a model for the electroweak interaction with minimal fer mionic content, results from variant approaches in NCG settings are re produced. The pattern developed augments these approaches in the const ruction of more realistic models involving higher algebras and other c lasses of groups or SU (n/1) supergroups.