Canonical Differential Calculi for Finitely Generated Abelian Groups and Their Fermionic Representations

摘要

Canonical different ial calcnli arc defined for finitely generated Abelian groups with involutions existing consistently.Two such the canonical calculi arc presented.Fermionic representations for canonical calcnli are dcfined based on quantized calculi.Fermionic representations for aforemcntioned two canonical calculi are searched out.