Maximal PI-exponents of finite-dimensional algebras

DOI10.3103/s0027132223030099MaRDI QIDQ6076551

Mikhail V. Zaicev

Publication date: 21 September 2023

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

zbMATH Keywords

polynomial identitiescodimensionsnonassociative algebrasPI-exponent

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Identities, free Lie (super)algebras (17B01) Simple, semisimple, reductive (super)algebras (17B20) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Free nonassociative algebras (17A50)

Cites Work

• Unnamed Item
• The representation theory of the symmetric groups
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Graded polynomial identities of matrices
• Identities for Lie superalgebras with a nilpotent commutator subalgebra
• Codimension growth of special simple Jordan algebras
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras