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Differential Calculi on \({\mathbb {Z}}_3\)-Graded Grassmann Plane

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Abstract

Covariant differential calculi on the \({\mathbb {Z}}_3\)-graded Grassmann plane are presented. Using the generators and their partial derivatives a Grassmann–Heisenberg algebra is constructed. An R-matrix which satisfies graded Yang–Baxter equation is obtained.

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Authors and Affiliations

  1. Department of Mathematics, Yildiz Technical University, DAVUTPASA-Esenler, 34220, Istanbul, Turkey

    Salih Celik & Sultan A. Celik

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  1. Salih Celik
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  2. Sultan A. Celik
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Correspondence to Salih Celik.

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Celik, S., Celik, S.A. Differential Calculi on \({\mathbb {Z}}_3\)-Graded Grassmann Plane. Adv. Appl. Clifford Algebras 27, 2407–2427 (2017). https://doi.org/10.1007/s00006-016-0754-y

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  • DOI: https://doi.org/10.1007/s00006-016-0754-y

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