657 citations
- Panjab UniversityIN239 papers
- University of SplitHR239 papers
- Sejong UniversityKR236 papers
- Yonsei UniversityKR236 papers
- Helsinki Institute of PhysicsFI234 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BolognaIT234 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di TorinoIT234 papers
- A. Alikhanyan National LaboratoryAM233 papers
- European Organization for Nuclear ResearchCH230 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di BariIT230 papers
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15 papers · 2 filters
Two-parameter nonstandard deformation of 2x2 matrices
Salih Celik, Sultan A. Celik
We introduce a two-parameter deformation of 2x2 matrices without imposing any condition on the matrices and give the universal R-matrix of the nonstandard quantum group which satis…
Two-parameter differential calculus on the h-superplane
Salih Celik, Sultan A. Celik
We introduce a noncommutative differential calculus on the two-parameter -superplane via a contraction of the (p,q)-superplane. We manifestly show that the differential calculus…
The properties of the quantum supergroup
Salih Celik, Sultan A. Celik
In this paper properties of the quantum supermatrices in the quantum supergroup are discussed. It is shown that any element of can be expressed as t…
Quantum properties of the dual matrices in
Salih Celik, Sultan A. Celik
In this paper, we give the quantum analogue of the dual matrices for the quantum supergroup and discuss these properties of the quantum dual supermatrices.
On the Differential Geometry of
Salih Celik
The differential calculus on the quantum supergroup GL was introduced by Schmidke {\it et al}. (1990 {\it Z. Phys. C} {\bf 48} 249). We construct a differential calculus…
Differential Geometry of the q-plane
Sultan A. Celik, Salih Celik
Hopf algebra structure on the differential algebra of the extended -plane is defined. An algebra of forms which is obtained from the generators of the extended -plane is intr…