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Dzhumadil’daev A · 2023 · arXiv 2308.15018

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On simple transposed Poisson algebras

math.RA · 2026-04-28 · accept · novelty 8.0

Every simple finite-dimensional transposed Poisson algebra over an algebraically closed field of characteristic p>3 has underlying Lie algebra the Zassenhaus algebra W(1;n) and is isomorphic to one of the mutated algebras W_n(q).

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  • On simple transposed Poisson algebras math.RA · 2026-04-28 · accept · none · ref 7

    Every simple finite-dimensional transposed Poisson algebra over an algebraically closed field of characteristic p>3 has underlying Lie algebra the Zassenhaus algebra W(1;n) and is isomorphic to one of the mutated algebras W_n(q).