Differential geometry of the quantum supergroup GLH, H′(1| 1)

S Celik, I Temli - Reports on Mathematical Physics, 2024 - Elsevier
In this paper, we construct a bi-covariant (h, h′)-deformed differential calculus on the Hopf
superalgebra of functions on the quantum supergroup GL hh′(1| 1) and obtain an extended …

Two-parameter differential calculus on the h-superplane

S Celik, SA Celik - arxiv preprint math/0112139, 2001 - arxiv.org
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 …

Some special functions of noncommuting variables

AS Hegazi, M Mansour - International Journal of Theoretical Physics, 2002 - Springer
Some Special Functions of Noncommuting Variables Page 1 P1: GXB International Journal of
Theoretical Physics [ijtp] pp620-ijtp-452107 October 28, 2002 14:46 Style file version May 30th …

[PDF][PDF] A DIFFERENTIAL CALCULUS ON THE SPACE Assoc. Prof. Salih CELIK

APO OKSUZ - avesis.yildiz.edu.tr
A DIFFERENTIAL CALCULUS ON THE SPACE Assoc. Prof. Salih CELIK Yildiz Technical
University ORCID NO: 0000-0002-6590-1032 Assis. Page 1 A DIFFERENTIAL CALCULUS …

Quantum de Rham complex on A (h)(1 vertical bar 2)

S Celik - JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020 - avesis.yildiz.edu.tr
Introducing h-and h'-deformations of Z (2)-graded (1+ 2)-and (2+ 1)-spaces, denoted by A
(h)(1 vertical bar 2) and A (h')(2 vertical bar)(1), a two-parameter differential calculus, the …

On - and -deformations of 3d-superspaces

S Celik - Turkish Journal of Mathematics, 2021 - journals.tubitak.gov.tr
In this paper, we introduce nonstandard deformations of (1+ 2)-and (2+ 1)-superspaces via a
contraction using standard deformations of them. This deformed superspaces are denoted …

Quantum de Rham complex on

S Celik - Journal of Algebra and Its Applications, 2020 - World Scientific
Introducing h-and h′-deformations of ℤ 2-graded (1+ 2)-and (2+ 1)-spaces, denoted by 𝔸 h
1| 2 and 𝔸 h′ 2| 1, a two-parameter differential calculus, the quantum de Rham complex, on …