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arxiv: 1711.05676 · v2 · pith:HPWWYXUWnew · submitted 2017-11-15 · ✦ hep-th · math.RT

Classification of kinematical Lie algebras

Jos\'e Figueroa-O'Farrill This is my paper
classification ✦ hep-th math.RT
keywords algebraskinematicalclassificationadmitarbitrarydimensionindicateinner
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We summarise the classification of kinematical Lie algebras in arbitrary dimension and indicate which of the kinematical Lie algebras admit an invariant inner product.

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  1. $L_\infty$-algebraic extensions of non-Lorentzian kinematical Lie algebras, gravities, and brane couplings

    hep-th 2025-12 unverdicted novelty 7.0

    L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.