Codimension growth of special simple Jordan algebras

DOI10.1090/S0002-9947-09-04865-XzbMath1205.17032OpenAlexW1963709271MaRDI QIDQ3566708

Antonio Giambruno, Mikhail V. Zaicev

Publication date: 8 June 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04865-x

zbMATH Keywords

exponential growthcodimensionsspecial Jordan algebraPolynomial identity

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities and free Jordan structures (17C05)

Related Items (25)

Codimension sequences and their asymptotic behavior ⋮ Central polynomials of algebras and their growth ⋮ Codimension growth of simple Jordan superalgebras ⋮ Polynomial codimension growth and the Specht problem ⋮ Polynomial identities and algebraic combinatorics on words ⋮ Varieties of special Jordan algebras of almost polynomial growth ⋮ Maximal PI-exponents of finite-dimensional algebras ⋮ Identities on algebras and combinatorial properties of binary words ⋮ Sturmian words and overexponential codimension growth ⋮ Identities of graded simple algebras ⋮ Growth of codimensions of metabelian algebras ⋮ On the codimension growth of almost nilpotent Lie algebras ⋮ Non integral exponential growth of central polynomials ⋮ Graded identities of some simple Lie superalgebras ⋮ Pauli gradings on Lie superalgebras and graded codimension growth ⋮ Codimension growth of solvable Lie superalgebras ⋮ Specht property for some varieties of Jordan algebras of almost polynomial growth ⋮ Identities of unitary finite-dimensional algebras. ⋮ Finite-dimensional non-associative algebras and codimension growth ⋮ Codimension growth of algebras with adjoint unit ⋮ PI-exponents of some simple algebras with unit ⋮ Codimension growth of central polynomials of Lie algebras ⋮ On identities of infinite dimensional Lie superalgebras ⋮ On existence of PI-exponent of algebras with involution ⋮ A four-dimensional simple algebra with fractional PI-exponent

Cites Work

• Algebras with intermediate growth of the codimensions.
• Multialternating Jordan polynomials and codimension growth of matrix algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
• Codimensions of algebras and growth functions
• 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
• Growth of polynilpotent varieties of Lie algebras and rapidly growing entire functions
• Integrality of exponents of codimension growth of finite-dimensional Lie algebras
• Simple and semisimple Lie algebras and codimension growth
• Codimension growth of two-dimensional non-associative algebras
• Polynomial Identities of Algebras of Small Dimension
• Growth in varieties of Lie algebras
• Group gradings on associative algebras
• Exponential growth for codimensions of some p. i. algebras
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