Abstract
It is constructed two-parameter left-covariant differential calculi on the function algebra on \({\mathbb {R}}_q(1|2)\) with respect to super-Hopf algebra \(\mathsf{O}(\mathrm{GL}_{p,q}(1|2))\). It is shown that, one of the differential calculi is bicovariant with respect to the super-Hopf algebra \(\mathsf{F}({\mathbb {R}}_q(1|2))\). It is noted that there is another two-parameter differential calculus which is bicovariant with respect to \(\mathsf{F}({\mathbb {R}}_q(1|2))\).
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The author wishes to thank anonymous referees, whose comments suggestions helped the clarity and presentation of this paper.
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Communicated by Rafał Abłamowicz.
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Celik, S.A. Differential Calculi on Super-Hopf Algebra \(\mathsf{F}\varvec{(}{\mathbb {R}}_{\varvec{q}}\varvec{(1|2))}\). Adv. Appl. Clifford Algebras 28, 85 (2018). https://doi.org/10.1007/s00006-018-0903-6
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DOI: https://doi.org/10.1007/s00006-018-0903-6