77 citations · 88 across the 11 of their papers we have counts for
11 papers
Some topics on the -graded exterior algebras
Salih Celik, Sultan A. Celik
A -graded Hopf algebra structure of exterior algebra with two generators is introduced. Two covariant differential calculus on the -graded exterior algebra are presented.…
A Differential Calculus on the -Deformed Z-Graded Superplane
Salih Celik, Sultan Celik, Erhan Cene
In this work, Z-graded quantum -superplane is introduced with a help of proper singular matrix and a Z-graded calculus is constructed over this new -superplan…
Differential calculus on the h-superplane
Salih Celik, Sultan A. Celik, Metin Arik
A non-commutative differential calculus on the -superplane is presented via a contraction of the -superplane. An R-matrix which satisfies both ungraded and graded Yang-Baxter…
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…