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arxiv: hep-th/0105119 · v1 · submitted 2001-05-13 · ✦ hep-th · hep-lat· math-ph· math.MP

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Canonical Differential Calculi For Finitely Generated Abelian Group and Their Fermionic Representations

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classification ✦ hep-th hep-latmath-phmath.MP
keywords canonicalcalculicalculusfermionicabeliandefineddifferentialfinitely
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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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