On the lee and associative codimensions growth

DOI10.1080/00927879908826736zbMath0940.16013OpenAlexW1971986548MaRDI QIDQ4265555

Sergey Mishchenko, Amitai Regev, Yu. A. Bakhturin

Publication date: 8 May 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826736

zbMATH Keywords

algebras with polynomial identitiescodimension sequencesLie commutatorscodimensions of T-idealsLie codimensionsLie algebras with polynomial identitiesproper codimensions

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) General theorems on summability (40D05) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (4)

Poisson PI algebras ⋮ On minimal Poisson algebras ⋮ Proper identities, Lie identities and exponential codimension growth. ⋮ Lie, Jordan and proper codimensions of associative algebras.

Cites Work

• Codimensions of T-ideals and Hilbert series of relatively free algebras
• 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]
• The Kronecker product of \(S_n\)-characters and an \(A\otimes B\) theorem for Capelli identities
• PI-algebras and their cocharacters
• Colength sequence of some T-ideals
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Existence of identities in \(A \otimes B\)
• Growth in varieties of Lie algebras

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