Explores 2-local derivations in the centerless Ovsienko-Roger algebra, revealing significant properties.
We study 2-local derivations on the centerless Ovsienko-Roger algebra L , which is the semi-direct product of the Witt algebra and its tensor density module.We prove that every 2-local derivation on L is a derivation for C \ {0, 1, 2} .We divide into two cases to consider 2-local derivations on L depending on whether the parameter is an integer, that is for the case Z \ {0, 1, 2} and the case / Z.
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Liu et al. (2024) studied this question.
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