Lie algebras of order F and extensions of the Poincaré algebra

Details Lie algebras of order F and extensions of the Poincaré algebra Lie algebras of order F and extensions of the Poincaré algebra

2002-09-18

arxiv.org/abs/hep-th/0209144v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at GROUP24 in Paris (July 2002); LaTeX, 4 pages, IOP styles

Scientific paper

F-Lie algebras are natural generalisations of Lie algebras (F=1) and Lie superalgebras (F=2). We give finite dimensional examples of F-Lie algebras obtained by an inductive process from Lie algebras and Lie superalgebras. Matrix realizations of the $F-$Lie algebras constructed in this way from osp(2|m) are given. We obtain a non-trivial extension of the Poincar\'e algebra by an In\"on\"u-Wigner contraction of a certain $F-$Lie algebras with $F>2$.

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