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General theory of Lie derivatives for Lorentz tensors

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arxiv 0904.0258 v2 pith:YB2YHA4J submitted 2009-04-01 math-ph math.MP

classification math-phmath.MP
keywords generalkosmannlorentztensorsappearedconsequencedefinedderivative
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We show how the ad hoc prescriptions appeared in 2001 by Ortin for the Lie derivative of Lorentz tensors are a direct consequence of the Kosmann lift defined earlier in 1996 in a much more general setting encompassing older results of Y. Kosmann in 1971.

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Cited by 3 Pith papers

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  1. Gauge Symmetries, Exact Symmetries and Conserved Charges in Minimal Massive Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Minimal Massive Gravity has three gauge symmetries, and a newly constructed transformation generates exact symmetries and a conserved charge in a restricted parameter limit.

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    A metric-compatible covariant variation of tensors has a non-closure anomaly that reproduces electromagnetic helicity flux under superrotations and generalizes to higher-spin and p-form radiative data.

  3. De Sitter Representations

    hep-th 2026-06 unverdicted

    Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.

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