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Canonical Differential Calculi for Finitely Generated Abelian Groups and Their Fermionic Representations
Authors:DAI Jian  SONG Xing-Chang  XIONG Chuan-Sheng
Affiliation:Institute of Theoretical Physics, School of Physics,Peking University, Beijing 100871, China
Abstract: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.
Keywords:finitely generated Abelian group  canonical differential calculus  involution  quantized calculus fermionic representation
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