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A Differential Calculus on the Z3-graded Quantum Group GL q (2)

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Abstract

In this work, we introduce Z3-graded quantum group GL\({_q(2,{\mathbb C})}\) with the help of Z3-graded quantum plane and a Z3-graded bicovariant differential calculus on the Z3-graded quantum group GL q (2). The corresponding Z3-graded quantum Lie superalgebra is obtained.

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Authors and Affiliations

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

    Salih Celik & Fatma Bulut

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  1. Salih Celik
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  2. Fatma Bulut
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Correspondence to Salih Celik.

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Celik, S., Bulut, F. A Differential Calculus on the Z3-graded Quantum Group GL q (2). Adv. Appl. Clifford Algebras 26, 81–96 (2016). https://doi.org/10.1007/s00006-015-0586-1

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  • DOI: https://doi.org/10.1007/s00006-015-0586-1

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