17 citations · 22 across the 5 of their papers we have counts for
5 papers
Invariance quantum group of the fermionic oscillator
M. Arik, S. Gun, A. Yildiz
The fermionic oscillator defined by the algebraic relations cc^*+c^*c=1 and c^{2}=0 admits the homogeneous group O(2) as its invariance group. We show that, the structure of the in…
Generalized exclusion and Hopf algebras
A. Yildiz
We propose a generalized oscillator algebra at the roots of unity with generalized exclusion and we investigate the braided Hopf structure. We find that there are two solutions: th…
Quantum Group Covariance and the Braided Structure of Deformed Oscillators
A. Yildiz
The connection between braided Hopf algebra structure and the quantum group covariance of deformed oscillators is constructed explicitly. In this context we provide deformations of…
A new algebra which transmutes to the braided algebra
A. Yildiz
We find a new braided Hopf structure for the algebra satisfied by the entries of the braided matrix . A new nonbraided algebra whose coalgebra structure is the same as th…
Braided Oscillators
A. Yildiz
The braided Hopf algebra structure of the generalized oscillator is investigated. Using the solutions two types of braided Fibonacci oscillators are introduced. This leads to two t…