Combinatorics on binary words and codimensions of identities in left nilpotent algebras

DOI10.1007/s10469-019-09522-6zbMath1471.17025arXiv1906.02648OpenAlexW3105756808WikidataQ127760849 ScholiaQ127760849MaRDI QIDQ2011319

Mikhail V. Zaicev, Dušan D. Repovš

Publication date: 6 December 2019

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02648

zbMATH Keywords

codimensionpolynomial identityPI-exponentleft nilpotent algebrasubexponential function of combinatorial complexity

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On existence of PI-exponents of codimension growth
• Finite-dimensional non-associative algebras and codimension growth
• The representation theory of the symmetric groups
• 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
• Graded polynomial identities of matrices
• Codimensions of algebras and growth functions
• A sufficient condition for coincidence of lower and upper exponents of the variety of linear algebras
• Existence of identities in \(A \otimes B\)
• On codimension growth of finite-dimensional Lie superalgebras
• Identities for Lie superalgebras with a nilpotent commutator subalgebra
• Exponents of varieties of lie algebras with a nilpotent commutator subalgebra
• Hereditary properties of words
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras
• Growth in varieties of Lie algebras