An example of a variety of Lie algebras with a fractional exponent
From MaRDI portal
Publication:1296183
DOI10.1007/BF02366352zbMath0933.17004OpenAlexW2067811967MaRDI QIDQ1296183
Mikhail V. Zaicev, Sergey Mishchenko
Publication date: 16 August 1999
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02366352
Related Items (max. 100)
Codimension sequences and their asymptotic behavior ⋮ Some thoughts on the current state of the theory of identical relations in Lie algebras ⋮ Varieties with at most cubic growth ⋮ Fractional variational symmetries of Lagrangians, the fractional Galilean transformation and the modified Schrödinger equation ⋮ Codimension growth of two-dimensional non-associative algebras ⋮ Algebras with intermediate growth of the codimensions. ⋮ The variety of Jordan algebras determined by the identity \((xy)(zt)\equiv 0\) has almost polynomial growth ⋮ Йордановы алгебры лиева типа ⋮ Varieties with at most quadratic growth ⋮ Growth for algebras satisfying polynomial identities. ⋮ Numerical characteristics of varieties of Poisson algebras ⋮ Nilpotent varieties and metabelian varieties ⋮ Sturmian words and overexponential codimension growth ⋮ Многообразия с дробным полиномиальным ростом и проблема Шпехта ⋮ Schreier's type formulae and two scales for growth of Lie algebras and groups ⋮ Correspondence between some metabelian varieties and left nilpotent varieties ⋮ Graded polynomial identities, group actions, and exponential growth of Lie algebras ⋮ The growth of varieties of Leibniz algebras with nilpotent commutator subalgebra ⋮ Varieties of null-filiform Leibniz algebras under the action of Hopf algebras ⋮ Minimal varieties of graded Lie algebras of exponential growth and the special Lie algebra \(sl_2\) ⋮ On the codimension growth of almost nilpotent Lie algebras ⋮ Infinite periodic words and almost nilpotent varieties ⋮ Identities for Lie superalgebras with a nilpotent commutator subalgebra ⋮ On almost nilpotent varieties of subexponential growth ⋮ Proper identities, Lie identities and exponential codimension growth. ⋮ Codimensions of algebras and growth functions ⋮ Lie algebras simple with respect to a Taft algebra action ⋮ Codimension growth of solvable Lie superalgebras ⋮ Identities of unitary finite-dimensional algebras. ⋮ Combinatorics on binary words and codimensions of identities in left nilpotent algebras ⋮ Semigroup graded algebras and graded PI-exponent ⋮ Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities. ⋮ An almost nilpotent variety of exponent 2 ⋮ Graded polynomial identities and codimensions: computing the exponential growth. ⋮ A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras ⋮ New example of a variety of Lie algebras with fractional exponent ⋮ Non-integrality of the PI-exponent of special Lie algebras ⋮ On H-simple not necessarily associative algebras ⋮ ЧИСЛОВЫЕ ХАРАКТЕРИСТИКИ АЛГЕБР ЛЕЙБНИЦА-ПУАССОНА ⋮ Growth of polynomial identities: is the sequence of codimensions eventually non-decreasing? ⋮ Amitsur’s conjecture for polynomial 𝐻-identities of 𝐻-module Lie algebras ⋮ Unnamed Item ⋮ On identities of infinite dimensional Lie superalgebras ⋮ A four-dimensional simple algebra with fractional PI-exponent ⋮ Correlation of Poisson algebras and Lie algebras in the language of identities ⋮ Semigroup graded algebras and codimension growth of graded polynomial identities.
Cites Work
- Codimensions and trace codimensions of matrices are asymptotically equal
- On codimension growth of finitely generated associative algebras
- Young's color diagrams
- On the codimensions of the verbally prime P.I. algebras
- Lower bound on the dimensions or irreducible representations of symmetric groups and on the exponents of varieties of Lie algebras
- Exponents of varieties of lie algebras with a nilpotent commutator subalgebra
- Simple and semisimple Lie algebras and codimension growth
- Existence of polynomial identities in $A \otimes \,_F B$
- Unnamed Item
This page was built for publication: An example of a variety of Lie algebras with a fractional exponent
