Differential Calculi on h-deformed Bosonic and Fermionic Quantum Planes

Abstract

We study differential calculus on h-deformed bosonic and fermionic quantum space. It is shown that the fermionic quantum space involves a parafermionic variable as well as a classical fermionic one. Further we construct the classical su(2) algebra on the fermionic quantum space and discuss a mapping between the classical su(2) and the h-deformed su(2) algebras.

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