Inhomogeneous quantum group of Q-fermions
1Department of Mathematics, Yildiz Technical University,Istanbul, Davupasa Campus, Esenler, 34210, Türkiye
Sigma J Eng Nat Sci 2023; 41(2): 271-275 DOI: 10.14744/sigma.2023.00038
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