Lie semisimple algebras of derivations and varieties of PI-algebras with almost polynomial growth

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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Kemer's theorem for affine PI algebras over a field of characteristic zero.
Kemer's theory for \(H\)-module algebras with application to the PI exponent
Varieties of algebras with superinvolution of almost polynomial growth
The polynomial part of the codimension growth of affine PI algebras
Group graded algebras and almost polynomial growth.
Varieties of superalgebras of almost polynomial growth.
Polynomial codimension growth of algebras with involutions and superinvolutions
Polynomial growth and star-varieties.
The invariant theory of \(n\times n\) matrices
Exponential codimension growth of PI algebras: an exact estimate
Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth
Representability and Specht problem for \(G\)-graded algebras.
Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities.
Trace identities and almost polynomial growth
Asymptotics of \(H\)-identities for associative algebras with an \(H\)-invariant radical.
Existence of identities in \(A \otimes B\)
On star-varieties with almost polynomial growth
POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
Identities of *-superalgebras and almost polynomial growth
Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
Varieties of algebras with pseudoinvolution and polynomial growth
Growth of polynomial identities: is the sequence of codimensions eventually non-decreasing?
Introduction to Lie Algebras and Representation Theory
Differential identities and polynomial growth of the codimensions
Differential identities and varieties of almost polynomial growth
Differential codimensions and exponential growth

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