Canonical Differential Calculi For Finitely Generated Abelian Group and Their Fermionic Representations
Jian Dai, Xing-Chang Song (Theory Group, Department of Physics, Peking, University)
TL;DR
This paper develops canonical differential calculi for finitely generated abelian groups with involutions, introduces fermionic representations based on quantized calculus, and explores their properties.
Contribution
It defines two canonical differential calculi for finitely generated abelian groups with involution and constructs their fermionic representations based on quantized calculus.
Findings
Two canonical differential calculi identified.
Fermionic representations constructed for these calculi.
Framework established for fermionic representations in this setting.
Abstract
Canonical differential calculus is defined for finitely generated abelian group with an involution existing consistently. Two such canonical calculi are found out. Fermionic representation for canonical calculus is defined based on quantized calculus. Fermionic representations for above-mentioned two canonical calculi are searched.
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