Kobiljon Abdurasulov ; Jobir Adashev ; Sabohat Eshmeteva - Transposed Poisson structures on solvable Lie algebras with filiform nilradical

cm:12844 - Communications in Mathematics, September 13, 2024, Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics) - https://doi.org/10.46298/cm.12844
Transposed Poisson structures on solvable Lie algebras with filiform nilradicalArticle

Authors: Kobiljon Abdurasulov ; Jobir Adashev ; Sabohat Eshmeteva

    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.

    https://doi.org/10.46298/cm.12844
    Source: arXiv.org:2401.04443
    Volume: Volume 32 (2024), Issue 3 (Special issue: Portuguese Mathematics)
    Published on: September 13, 2024
    Accepted on: July 29, 2024
    Submitted on: January 10, 2024
    Keywords: Mathematics - Rings and Algebras,17A30 (Primary), 17B40, 17B61, 17B63 (Secondary)
    Licence: Attribution 4.0 International (CC BY 4.0)

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