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Transposed Poisson structures on solvable Lie algebras with filiform nilradical (2401.04443v4)
Published 9 Jan 2024 in math.RA
Abstract: In this article, we described 1/2-derivations of solvable Lie algebras with a thread-like nilradical. Nontrivial transposed Poisson algebras with solvable Lie algebras are constructed. That is, by using 1/2-derivations of Lie algebras, we have established commutative associative multiplication to construct a transposed Poisson algebra with an associated given Lie algebra.