On a conjecture about solvability of symmetric Poisson algebras
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Publication:5021645
DOI10.1112/blms.12479OpenAlexW3135307553WikidataQ113788608 ScholiaQ113788608MaRDI QIDQ5021645
Hamid Usefi, Salvatore Siciliano
Publication date: 13 January 2022
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms.12479
Identities, free Lie (super)algebras (17B01) Poisson algebras (17B63) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Modular Lie (super)algebras (17B50)
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Cites Work
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- Delta methods in enveloping rings
- Poisson identities of enveloping algebras
- A Lie algebra generalization of the Amitsur-Levitski theorem
- Poisson polynomial identities. II
- The Lie structure of enveloping algebras
- Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras
- Simultaneous triangularization
- Solvability of Poisson algebras
- Solvable symmetric Poisson algebras and their derived lengths
- Lie structure of truncated symmetric Poisson algebras
- Lie solvable enveloping algebras of characteristic two
- Poisson polynomial identities
- Poisson PI algebras