Correlation of Poisson algebras and Lie algebras in the language of identities
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Publication:2343893
DOI10.1134/S0001434614090284zbMath1359.17034OpenAlexW2066752630WikidataQ58389656 ScholiaQ58389656MaRDI QIDQ2343893
Publication date: 11 May 2015
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434614090284
Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) Poisson algebras (17B63) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)
Related Items (7)
Identities in group rings, enveloping algebras and Poisson algebras ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ ℤ2-graded codimensions of unital algebras ⋮ Numerical characteristics of varieties of Poisson algebras ⋮ Scale for codimension growth of Poisson PI-algebras ⋮ Schreier's type formulae and two scales for growth of Lie algebras and groups ⋮ On extension of classical Baer results to Poisson algebras
Cites Work
- Equivalent conditions of polynomial growth of a variety of Poisson algebras
- Poisson algebras of polynomial growth
- Varieties of Lie algebras with the identity \([[x_ 1,x_ 2,x_ 3,[x_ 4,x_ 5,x_ 6]]=0\) over a field of characteristic zero]
- Varieties of polynomial growth of Lie algebras over a field of characteristic zero
- On codimension growth of finitely generated associative algebras
- Exponential codimension growth of PI algebras: an exact estimate
- An example of a variety of Lie algebras with a fractional exponent
- A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras
- Lower bound on the dimensions or irreducible representations of symmetric groups and on the exponents of varieties of Lie algebras
- Poisson PI algebras
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