Classification of the Five-Dimensional Lie Superalgebras Over the Real Numbers |
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| Authors: | N. L. Matiadou A. Fellouris |
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| Affiliation: | (1) Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece |
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| Abstract: | The purpose of this contribution, is to initiate a classification of Lie superalgebras (LS) of dimension five, over the base field ℝ of real numbers. We use the “graded skew-symmetry” and the “graded Jacobi identity” in order to get restrictions for the commutators and anticommutators of an arbitrary five-dimensional Lie superalgebra L = L 0⊕ L 1 PACS 2003: 02.20.Sv |
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| Keywords: | Lie Superalgebra |
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