Copy For Citation
ÇELİK S., Temli I.
Reports on Mathematical Physics, vol.93, no.3, pp.371-391, 2024 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
93
Issue:
3
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Publication Date:
2024
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Doi Number:
10.1016/s0034-4877(24)00044-2
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Journal Name:
Reports on Mathematical Physics
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
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Page Numbers:
pp.371-391
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Keywords:
bi-covariant differential calculus, h-deformed Lie superalgebra, h-deformed superplanes, super inner derivations, super Lie derivatives
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Yıldız Technical University Affiliated:
Yes
Abstract
In this paper, we construct a bi-covariant (h,h′)-deformed differential calculus on the Hopf superalgebra of functions on the quantum supergroup GLh.h′ (1|1) and obtain an extended differential calculus (Cartan calculus) by including inner derivations and Lie derivatives. In doing so, we use left-Cartan-Maurer 1-forms and left-vector fields.