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pro vyhledávání: '"Celik, Salih"'
Autor:
Celik, Salih
We define a new ${\mathbb Z}_2$-graded quantum (2+1)-space and show that the extended ${\mathbb Z}_2$-graded algebra of polynomials on this ${\mathbb Z}_2$-graded quantum space, denoted by ${\cal F}({\mathbb C}_q^{2\vert1})$, is a ${\mathbb Z}_2$-gra
Externí odkaz:
http://arxiv.org/abs/2103.16307
Autor:
Celik, Salih
Publikováno v:
J. Math. Phys. 62, 073504:1-17 (2021)
In this work, we introduce the ${\mathbb Z}_3$-graded differential algebra, denoted by $\Omega(\widetilde{\rm GL}_q(2))$, treated as the ${\mathbb Z}_3$-graded quantum de Rham complex of ${\mathbb Z}_3$-graded quantum group $\widetilde{\rm GL}_q(2)$.
Externí odkaz:
http://arxiv.org/abs/1911.06125
Akademický článek
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Autor:
Celik, Salih
Publikováno v:
Hacet. J. Math. Stat. 49 (2) (2020), 777-783
Super-Hopf algebra structure on the function algebra on the extended quantum symplectic superspace ${\rm SP}_q^{2|1}$ has been defined. The dual Hopf algebra is explicitly constructed.
Comment: 12 pages. arXiv admin note: text overlap with arXiv
Comment: 12 pages. arXiv admin note: text overlap with arXiv
Externí odkaz:
http://arxiv.org/abs/1811.06381
Autor:
Celik, Salih
Publikováno v:
Journal of Algebra and Its Applications Vol. 19, No. 9 (2020) 2050177 (16 pages)
Introducing $h$- and $h'$-deformations of ${\mathbb Z}_2$-graded (1+2)- and (2+1)-spaces, denoted by ${\mathbb A}_h^{1|2}$ and ${\mathbb A}_{h'}^{2|1}$, a two-parameter first order differential calculus, de Rham complex, on ${\mathbb A}_{h}^{1|2}$ ex
Externí odkaz:
http://arxiv.org/abs/1811.05679
Autor:
Celik, Salih
Publikováno v:
Turk J Math 45 (2021), 346-359
In this paper, we introduce non-standard deformations of (1+2)- and (2+1)-superspaces via a contraction using standard deformations of them. This deformed superspaces denoted by ${\mathbb A}_h^{1|2}$ and ${\mathbb A}_{h'}^{2|1}$, respectively. We fin
Externí odkaz:
http://arxiv.org/abs/1811.05682
Autor:
CELIK, SALIH1 sacelik@yildiz.edu.tr
Publikováno v:
Mathematical Communications. 2023, Vol. 28 Issue 2, p213-234. 22p.
Autor:
Celik, Salih, Celik, Sultan A. *
Publikováno v:
In Reports on Mathematical Physics October 2021 88(2):259-269
Autor:
Celik, Salih
Publikováno v:
Journal of Mathematical Physics 58, 023508 (2017)
A unitary orthosymplectic quantum supergroup is introduced. Two covariant differential calculi on the quantum superspace $SP_q^{1|2}$ are presented. The $h$-deformed symplectic superspaces via a contraction of the $q$-deformed symplectic superspaces
Externí odkaz:
http://arxiv.org/abs/1607.02491