caa a22 4500 463196295 CHVBK 20180406164923.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10773-006-9055-x doi (NATIONALLICENCE)springer-10.1007/s10773-006-9055-x Classification of the Five-Dimensional Lie Superalgebras Over the Real Numbers [Elektronische Daten] [N. Matiadou, A. Fellouris] 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 Springer Science + Business Media, Inc., 2007 Lie Superalgebra nationallicence Matiadou N. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece aut Fellouris A. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/3(2007-03-01), 451-470 0020-7748 46:3<451 2007 46 10773 https://doi.org/10.1007/s10773-006-9055-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9055-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Matiadou N. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece aut NATIONALLICENCE 700 1- Fellouris A. Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/3(2007-03-01), 451-470 0020-7748 46:3<451 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer