Poisson PI algebras

DOI10.1090/S0002-9947-07-04008-1zbMath1156.17005OpenAlexW1978792685MaRDI QIDQ5297027

Sergey Mishchenko, Amitai Regev, Victor M. Petrogradsky

Publication date: 17 July 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04008-1

zbMATH Keywords

Poisson algebracodimension growthcodimension sequencePoisson PI algebra

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) Poisson algebras (17B63) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (28)

Identities in group rings, enveloping algebras and Poisson algebras ⋮ Proper \(T\)-ideals of Poisson algebras with extreme properties ⋮ DG Poisson algebra and its universal enveloping algebra ⋮ О тождествах специального вида в алгебрах Лейбница - Пуассона ⋮ Equivalent conditions of polynomial growth of a variety of Poisson algebras ⋮ Poisson algebras of polynomial growth ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras ⋮ Numerical characteristics of varieties of Poisson algebras ⋮ Poisson triple systems ⋮ Scale for codimension growth of Poisson PI-algebras ⋮ Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras ⋮ Transposed Poisson structures ⋮ On minimal Poisson algebras ⋮ Algebras of Jordan brackets and generalized Poisson algebras ⋮ Solvability of Poisson algebras ⋮ On Customary Spaces of Leibniz –Poisson Algebras ⋮ On extension of classical Baer results to Poisson algebras ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ Growth in Poisson algebras ⋮ The Freiheitssatz for Poisson algebras ⋮ PBW-basis for universal enveloping algebras of differential graded Poisson algebras ⋮ Многообразия линейных алгебр полиномиального роста ⋮ ЧИСЛОВЫЕ ХАРАКТЕРИСТИКИ АЛГЕБР ЛЕЙБНИЦА-ПУАССОНА ⋮ Unnamed Item ⋮ Some extremal properties of the variety of Leibniz algebras left nilpotent of class at most three ⋮ Correlation of Poisson algebras and Lie algebras in the language of identities ⋮ On a conjecture about solvability of symmetric Poisson algebras

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