New example of a variety of Lie algebras with fractional exponent

DOI10.3103/S0027132211060088zbMath1304.17016MaRDI QIDQ2513253

S. S. Mishchenko

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (9)

Codimension sequences and their asymptotic behavior ⋮ Some thoughts on the current state of the theory of identical relations in Lie algebras ⋮ Fractional variational symmetries of Lagrangians, the fractional Galilean transformation and the modified Schrödinger equation ⋮ Nilpotent varieties and metabelian varieties ⋮ Многообразия с дробным полиномиальным ростом и проблема Шпехта ⋮ Correspondence between some metabelian varieties and left nilpotent varieties ⋮ Infinite periodic words and almost nilpotent varieties ⋮ On almost nilpotent varieties of subexponential growth ⋮ On the varieties of commutative metabelian algebras

Cites Work

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• Exponential codimension growth of PI algebras: an exact estimate
• An example of a variety of Lie algebras with a fractional exponent
• Codimensions of algebras and growth functions
• Exponents of varieties of lie algebras with a nilpotent commutator subalgebra
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras

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