\((\delta,\varepsilon)\)-differential identities of \(UT_m(F)\)

DOI10.1007/978-3-030-63111-6_16zbMath1486.16047OpenAlexW3138824258MaRDI QIDQ824453

Vincenzo C. Nardozza

Publication date: 15 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-63111-6_16

zbMATH Keywords

Lie algebrasupper triangular matricesderivation actiondifferential codimensionsdifferential polynomial identities

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

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• Kemer's theory for \(H\)-module algebras with application to the PI exponent
• Cocharacter sequences of algebras with Hopf algebra actions
• Basis for identities of the algebra of upper triangular matrices
• Derivations of upper triangular matrix rings
• Young-derived sequences of \(S_ n\)-characters
• Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth
• Representability and Specht problem for \(G\)-graded algebras.
• Differential polynomial identities of upper triangular matrices under the action of the two-dimensional metabelian Lie algebra
• Amitsur's conjecture for associative algebras with a generalized Hopf action.
• On the *-Polynomial Identities of a Class of *-Minimal Algebras
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution

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