Lie structure of truncated symmetric Poisson algebras

DOI10.1016/j.jalgebra.2017.05.035zbMath1427.17033arXiv1612.08051OpenAlexW2561840994WikidataQ115350690 ScholiaQ115350690MaRDI QIDQ2401620

Ilana Z. Monteiro Alves, Victor M. Petrogradsky

Publication date: 4 September 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08051

zbMATH Keywords

solvable Lie algebrassymmetric algebrasrestricted Lie algebrasnilpotent Lie algebrasPoisson algebrasidentical relationstruncated symmetric algebras

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65) Poisson algebras (17B63) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Modular Lie (super)algebras (17B50)

Related Items

Identities in group rings, enveloping algebras and Poisson algebras, Derived lengths of symmetric Poisson algebras, Scale for codimension growth of Poisson PI-algebras, Lie structure of the Heisenberg-Weyl algebra, Identities and derived lengths of finitary incidence algebras and their group of units, Solvability of Poisson algebras, On extension of classical Baer results to Poisson algebras, Some products of commutators in an associative ring, Solvable symmetric Poisson algebras and their derived lengths, On a conjecture about solvability of symmetric Poisson algebras

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