Classification of transposed Poisson 3-Lie algebras of dimension 3
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DOI: 10.1080/00927872.2025.2458230
Abstract: Abstract Transposed Poisson 3-Lie algebra is a dual notion of Nambu-Poisson algebra of order 3. In this paper, we explicitly determine all 13-derivations and automorphisms of the unique nontrivial 3-dimensional complex 3-Lie algebra (A3,[·,·,·]). Based… read more here.
Keywords: algebra; poisson lie; algebras dimension; transposed poisson ... See more keywords
Transposed Poisson Structures on Two Nambu 3-Lie Algebras
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DOI: 10.1142/s0219498827500812
Abstract: We describe the [Formula: see text]-derivations and transposed Poisson structures of the Nambu 3-Lie algebras [Formula: see text] and [Formula: see text]. Specifically, we first present that [Formula: see text] is finitely generated and graded.… read more here.
Keywords: see text; poisson structures; algebra; transposed poisson ... See more keywords
1/2-superderivation and transposed Poisson structures on the super Heisenberg-Virasoro algebra
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DOI: 10.2298/fil2424511y
Abstract: We describe transposed Poisson structures on the super Heisenberg-Virasoro algebra. We show that the super Heisenberg-Virasoro algebra does not admit non-trivial 1/2 -superderivations, and consequently it does not possess non-trivial transposed Poisson structures. read more here.
Keywords: poisson structures; algebra; virasoro algebra; transposed poisson ... See more keywords