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Title

A Two-parameter bicovariant differential calculus on the -dimensional -superspace.

Authors

Yasar, Ergün

Abstract

We construct a two-parameter bicovariant differential calculus on with the help of the covariance point of view using the Hopf algebra structure of . To achieve this, we first use the consistency of calculus and the approach of -matrix which satisfies both ungraded and graded Yang-Baxter equations. In particular, based on this differential calculus, we investigate Cartan-Maurer forms for this -superspace. Finally, we obtain the quantum Lie superalgebra corresponding the Cartan-Maurer forms.

Subjects

PARAMETERS (Statistics); DIFFERENTIAL calculus; DIMENSION theory (Topology); HOPF algebras; ANALYSIS of covariance; YANG-Baxter equation; TOPOLOGICAL spaces

Publication

International Journal of Geometric Methods in Modern Physics, 2016, Vol 13, Issue 3, p-1

ISSN

0219-8878

Publication type

Academic Journal

DOI

10.1142/S0219887816500298

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