Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$

celik, salih

doi:10.55730/1300-0098.3456

Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$

Salih ÇELİK (Yıldız Teknik Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, İstanbul, Türkiye)

Turkish Journal of Mathematics

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Yıl: 2023 Cilt: 47 Sayı: 6 Sayfa Aralığı: 1674 - 1693 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3456 İndeks Tarihi: 14-03-2024

Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$

Öz:

We give an extended calculus over the function algebra on h -deformed superplane. For this, we extend the $(h_1, h_2)$ -deformed differential calculus on the h -deformed superplane by adding inner derivations. We reformulate the results with an R -matrix and present the tensor product realization of the wedge product. We also discuss Cartan calculus via a contraction.

Anahtar Kelime: $h$ -deformation quantum superplane differential calculus inner derivations lie derivatives Cartan calculus contraction

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	celik s (2023). Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. , 1674 - 1693. 10.55730/1300-0098.3456
Chicago	celik salih Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. (2023): 1674 - 1693. 10.55730/1300-0098.3456
MLA	celik salih Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. , 2023, ss.1674 - 1693. 10.55730/1300-0098.3456
AMA	celik s Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. . 2023; 1674 - 1693. 10.55730/1300-0098.3456
Vancouver	celik s Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. . 2023; 1674 - 1693. 10.55730/1300-0098.3456
IEEE	celik s "Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$." , ss.1674 - 1693, 2023. 10.55730/1300-0098.3456
ISNAD	celik, salih. "Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$". (2023), 1674-1693. https://doi.org/10.55730/1300-0098.3456

APA	celik s (2023). Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. Turkish Journal of Mathematics, 47(6), 1674 - 1693. 10.55730/1300-0098.3456
Chicago	celik salih Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. Turkish Journal of Mathematics 47, no.6 (2023): 1674 - 1693. 10.55730/1300-0098.3456
MLA	celik salih Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. Turkish Journal of Mathematics, vol.47, no.6, 2023, ss.1674 - 1693. 10.55730/1300-0098.3456
AMA	celik s Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. Turkish Journal of Mathematics. 2023; 47(6): 1674 - 1693. 10.55730/1300-0098.3456
Vancouver	celik s Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$. Turkish Journal of Mathematics. 2023; 47(6): 1674 - 1693. 10.55730/1300-0098.3456
IEEE	celik s "Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$." Turkish Journal of Mathematics, 47, ss.1674 - 1693, 2023. 10.55730/1300-0098.3456
ISNAD	celik, salih. "Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$". Turkish Journal of Mathematics 47/6 (2023), 1674-1693. https://doi.org/10.55730/1300-0098.3456