S. Çelik

collaborators

9 papers

math.QA2002

Differential calculus on the h-superplane

Salih Celik, Sultan A. Celik, Metin Arik

A non-commutative differential calculus on the $h$ -superplane is presented via a contraction of the $q$ -superplane. An R-matrix which satisfies both ungraded and graded Yang-Baxter…

math.QA2002

Differential Geometry of the Lie superalgebra of the quantum superplane

Salih Celik

Differential geometry of the quantum Lie superalgebra of the extended quantum superplane and its Z $_{2}$ -graded Hopf algebra structure is obtained. Its Z $_{2}$ -graded dual Hopf algebra…

math.QA2001

The properties of the quantum supergroup $G L_{p, q} (1∣1)$

Salih Celik, Sultan A. Celik

In this paper properties of the quantum supermatrices in the quantum supergroup $G L_{p, q} (1∣1)$ are discussed. It is shown that any element of $G L_{p, q} (1∣1)$ can be expressed as t…

math.QA2001

Quantum properties of the dual matrices in $G L_{q} (1∣1)$

Salih Celik, Sultan A. Celik

In this paper, we give the quantum analogue of the dual matrices for the quantum supergroup $G L_{q} (1∣1)$ and discuss these properties of the quantum dual supermatrices.

math.QA2001

The Hopf algebra structure of GL(1,H $_{q})$ and the isomorphism between SP $_{q} (1)$ and SU $_{q} (2)$

Salih Celik

In this Letter, we introduce the Hopf algebra structure of the quantum quaternionic group GL(1,H $_{q})$ and discuss the isomorphism between the quantum symplectic group SP $_{q} (1)$ and…

math.QA2001

h-deformation of Grassmann supergroup Gr $(1∣1)$

Salih Celik

We introduce the h-deformation of the algebra of functions on the grassmann supergroup Gr $(1∣1)$ via a contraction of Gr $_{q} (1∣1)$ .

Differential calculus on the h-superplane

Differential Geometry of the Lie superalgebra of the quantum superplane

The properties of the quantum supergroup GLp,q​(1∣1)

Quantum properties of the dual matrices in GLq​(1∣1)

The Hopf algebra structure of GL(1,Hq​) and the isomorphism between SPq​(1) and SUq​(2)

h-deformation of Grassmann supergroup Gr(1∣1)

The properties of the quantum supergroup $G L_{p, q} (1∣1)$

Quantum properties of the dual matrices in $G L_{q} (1∣1)$

The Hopf algebra structure of GL(1,H $_{q})$ and the isomorphism between SP $_{q} (1)$ and SU $_{q} (2)$

h-deformation of Grassmann supergroup Gr $(1∣1)$