Polynomial growth of the codimensions: a characterization

DOI10.1090/S0002-9939-09-10160-0zbMath1200.17003OpenAlexW2052966816MaRDI QIDQ3550559

Antonio Giambruno, Sergey Mishchenko

Publication date: 31 March 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10160-0

zbMATH Keywords

codimensionpolynomial identitycocharacter

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Free nonassociative algebras (17A50)

Related Items

Codimension sequences and their asymptotic behavior ⋮ Многообразия с дробным полиномиальным ростом и проблема Шпехта ⋮ An uncountable family of almost nilpotent varieties of polynomial growth ⋮ Example of a linear algebra variety with the polynomial growth lower than three ⋮ Infinite periodic words and almost nilpotent varieties ⋮ Многообразия линейных алгебр полиномиального роста

Cites Work

• 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 linear algebras with colength one
• Existence of identities in \(A \otimes B\)
• Lower bound on the dimensions or irreducible representations of symmetric groups and on the exponents of varieties of Lie algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item