Colength sequence of some T-ideals

DOI10.1016/0021-8693(76)90247-7zbMath0323.16002OpenAlexW2076866164MaRDI QIDQ1224150

Amitai Regev, Jørn B. Olsson

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90247-7

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Representations of finite symmetric groups (20C30) Exterior algebra, Grassmann algebras (15A75) Rings with polynomial identity (16Rxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (38)

On the lee and associative codimensions growth ⋮ On the identities of subalgebras of matrices over the Grassmann algebra ⋮ The mathematics of Amitai Regev ⋮ The poincaré series related to the grassmann algebra ⋮ Unnamed Item ⋮ On \(\mathbb Z_2\)-graded identities of the generalized Grassmann envelope of the upper triangular matrices \(UT_{k,l}(F)\). ⋮ Growth for algebras satisfying polynomial identities. ⋮ Sign trace identities ⋮ Supervarieties of small graded colength. ⋮ On a class of algebras defined by partitions. ⋮ The cocharacter sequence of the finite dimensional grassmann algebra ⋮ On ℤ_p-graded identities and cocharacters of the Grassmann algebra ⋮ COCHARACTERS OF POLYNOMIAL IDENTITIES OF UPPER TRIANGULAR MATRICES ⋮ Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. ⋮ Modular cocharacters for P. I. algebras ⋮ Viktor Nikolaevich Latyshev (on the occasion of his 70th birthday) ⋮ Exact asymptotic behaviour of the codimensions of some P.I. algebras ⋮ Weak polynomial identities and their applications ⋮ Associative rings ⋮ On \(\mathbb Z_2\)-graded identities of the super tensor product of \(UT_2(F)\) by the Grassmann algebra. ⋮ PI-algebras with slow codimension growth. ⋮ Colength sequences for matrices over Grassmann algebras. ⋮ Noncommutative invariant theory of symplectic and orthogonal groups ⋮ On the T-ideal generated by a standard identity ⋮ The \(T\)-ideal generated by the standard identity \(s_3[x_1,x_2,x_3\)] ⋮ Polynomial identities on superalgebras: classifying linear growth. ⋮ An Example Concerning the Constant in the Asymptotics of Codimension Sequences ⋮ Grassmann algebras over finite fields ⋮ The Grassmann algebra and its differential identities ⋮ On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra. ⋮ Ordinary and ℤ₂-Graded Cocharacters ofUT₂(E) ⋮ A characterization of fundamental algebras through \(S_n\)-characters ⋮ Applications of hook Young diagrams to P.I. algebras ⋮ A characterization of P. I. algebras with bounded multiplicities of the cocharacters ⋮ Algebra. Dedicated to the seventieth birthday of Professor Viktor Nikolaevich Latyshev. Part 1. Transl. from the Russian ⋮ Graded algebras with polynomial growth of their codimensions. ⋮ \(A\)-codimensions and \(A\)-cocharacters ⋮ Cocharacters of polynomial identities of block triangular matrices

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
• Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
• An Application of Representation Theory to PI-Algebras
• The Polynomial Identities of the Grassman Algebra

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