Inhomogeneous quantum group of Q-fermions

Year 2023, Volume: 41 Issue: 2, 271 - 275, 30.04.2023

Erdoğan Mehmet Özkan , Muttalip Özavşar

Abstract

In this work, we introduce a nonstandard algebra of q-fermions where q is a nonzero complex deformation parameter for the algebra of the commuting fermions. In order to show that q-fermions provides a proper generalization of the algebra of usual commuting fermions, we prove that there is an inhomogeneous quantum structure associated with q-fermions for a complex number q with |q| = 1.

Keywords

Quantum Invariance Group, Fermions, Hopf Algebra, Inhomogeneous Quantum Group

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