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Finite-dimensional Lie algebras of order $F$ TeX

by: Rausch, M. J. Slupinski
J. Math. Phys., Vol. 43, No. 10. (2002), pp. 5145-5160.

X Abstract

The authors consider $F$-Lie algebras which formalize the notion of fractional supersymmetry (FSUSY). These algebras are natural generalizations of the Lie algebras ($F=1$) and Lie superalgebras ($F=2$). The authors show how to construct finite-dimensional $F$-Lie algebras with $F>2$ by an inductive process starting from Lie algebras and Lie superalgebras. Many examples of such $F$-Lie algebras and their matrix realizations are constructed. In particular, the first finite-dimensional FSUSY extensions of the Poincaré algebra are presented.

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This article has been bookmarked 2 times, initially on 2006-03-04.

2006-03-04 User eibin
Group NoncommutativeGeometry
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