Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Celik, Sultan"'
Autor:
Celik, Salih, Celik, Sultan A. *
Publikováno v:
In Reports on Mathematical Physics October 2021 88(2):259-269
Autor:
Celik, Salih, Celik, Sultan A.
A $Z_3$-graded Hopf algebra structure of exterior algebra with two generators is introduced. Two covariant differential calculus on the $Z_3$-graded exterior algebra are presented. Using the generators and their partial derivatives a Grassmann-Heisen
Externí odkaz:
http://arxiv.org/abs/1606.08139
In this work, Z$_3$-graded quantum $(h,j)$-superplane is introduced with a help of proper singular $g$ matrix and a Z$_3$-graded calculus is constructed over this new $h$-superplane. A new Z$_3$-graded $(h,j)$-deformed quantum (super)group is constru
Externí odkaz:
http://arxiv.org/abs/1402.5853
Autor:
Çelik, Salih, Çelik, Sultan A.
Publikováno v:
Czech. J. Phys. 56 (2006), 229-236
We present a differential calculus on the extension of the quantum plane obtained considering that the (bosonic) generator $x$ is invertible and furthermore working polynomials in $\ln x$ instead of polynomials in $x$. We call quantum Lie algebra to
Externí odkaz:
http://arxiv.org/abs/math/0304385
Autor:
Celik, Salih, Celik, Sultan A.
Publikováno v:
Balkan Phys. Lett. 3 (1995), 188-192
In this paper, we give the quantum analogue of the dual matrices for the quantum supergroup $GL_q(1|1)$ and discuss these properties of the quantum dual supermatrices.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/math/0112135
Autor:
Celik, Salih, Celik, Sultan A.
Publikováno v:
J. Math. Phys 40 (1999), 3553-3560
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 satisfies the quantum Yang-Baxter relation. Although in the standard two-pa
Externí odkaz:
http://arxiv.org/abs/math/0112140
Autor:
Celik, Salih, Celik, Sultan A.
Publikováno v:
Balkan Phys. Lett. 1 (1997), 32-41
In this paper properties of the quantum supermatrices in the quantum supergroup $GL_{p,q}(1|1)$ are discussed. It is shown that any element of $GL_{p,q}(1|1)$ can be expressed as the exponential of a matrix of non-commuting elements, like the group $
Externí odkaz:
http://arxiv.org/abs/math/0112138
Autor:
Celik, Salih, Celik, Sultan A.
Publikováno v:
J. Math. Phys. 40 (1999), 5998-6008
We introduce a noncommutative differential calculus on the two-parameter $h$-superplane via a contraction of the (p,q)-superplane. We manifestly show that the differential calculus is covariant under $GL_{h_1,h_2}(1| 1)$ transformations. We also give
Externí odkaz:
http://arxiv.org/abs/math/0112139
Autor:
Celik, Sultan A., Celik, Salih
Publikováno v:
Int. J. Modern Phys. A 15 (2000), 3237-3243
Hopf algebra structure on the differential algebra of the extended $q$-plane is defined. An algebra of forms which is obtained from the generators of the extended $q$-plane is introduced and its Hopf algebra structure is given.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/math/0112122
Publikováno v:
Modern Phys. Lett. A 13 (1998), 1645-1651
We give a two-parameter quantum deformation of the exterior plane and its differential calculus without the use of any R-matrix and relate it to the differential calculus with the R-matrix. We prove that there are two types of solutions of the Yang-B
Externí odkaz:
http://arxiv.org/abs/math/0112125