An Application of Representation Theory to PI-Algebras

DOI10.2307/2041701zbMath0328.16017OpenAlexW4246974025MaRDI QIDQ4093606

Amitai Regev, Jørn B. Olsson

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041701

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Representations of finite symmetric groups (20C30) Rings with polynomial identity (16Rxx)

Related Items

Codimension growth for weak polynomial identities, and non-integrality of the PI exponent ⋮ \(A\)-identities for the \(2\times 2\) matrix algebra. ⋮ An explicit basis for the Grassmann \(T\)-space ⋮ Identities of Cayley-Dickson algebras ⋮ Codimension growth for polynomial identities of representations of Lie algebras ⋮ Modular cocharacters for P. I. algebras ⋮ Colength sequence of some T-ideals ⋮ On the T-ideal generated by a standard identity ⋮ The \(T\)-ideal generated by the standard identity \(s_3[x_1,x_2,x_3\)] ⋮ The representations of \(S_n\) and explicit identities for P. I. algebras ⋮ A note on the T-ideal generated by \(S_3[X_1,X_2,X_3\)]

Cites Work

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• Representations of permutation groups. Part I
• Existence of identities in \(A \otimes B\)
• The codimensions of a PI-algebra
• The Polynomial Identities of the Grassman Algebra