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Lie algebras of order F and extensions of the Poincar\'e algebra

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arxiv hep-th/0209144 v1 pith:7LZI72H3 submitted 2002-09-18 hep-th math-phmath.MPmath.RT

M. Rausch de Traubenberg This is my paper · ORCID
classification hep-thmath-phmath.MPmath.RT
keywords algebrasalgebraf-liepoincarsuperalgebrascertainconstructedcontraction
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abstract

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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  1. The old problem of the cosmological constant solved?

    gr-qc 2025-05 reject novelty 4.0 of 10

    A speculative essay claims that a model of gravity as superluminal phonons on a ring lattice solves the cosmological constant problem, but provides no derivation of the values or dynamics.

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