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A Differential Calculus on the (h, j)-Deformed Z3-Graded Superplane

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Abstract

In this work, Z3-graded quantum (h, j)-superplane is introduced with a help of proper singular g matrix and a Z3-graded calculus is constructed over this new h-superplane. A new Z3-graded (h, j)-deformed quantum (super)group is constructed via the obtained calculus.

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Authors and Affiliations

  1. Department of Mathematics, Yildiz Technical University, DAVUTPASA-Esenler, Istanbul, 34210, Turkey

    Salih Celik & Sultan Celik

  2. Department of Statistics, Yildiz Technical University, DAVUTPASA-Esenler, Istanbul, 34210, Turkey

    Erhan Cene

Authors
  1. Salih Celik
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  2. Sultan Celik
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  3. Erhan Cene
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Correspondence to Erhan Cene.

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Celik, S., Celik, S. & Cene, E. A Differential Calculus on the (h, j)-Deformed Z3-Graded Superplane. Adv. Appl. Clifford Algebras 24, 643–659 (2014). https://doi.org/10.1007/s00006-014-0450-8

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  • DOI: https://doi.org/10.1007/s00006-014-0450-8

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