Differential polynomial identities of upper triangular matrices under the action of the two-dimensional metabelian Lie algebra

DOI10.1007/s10468-020-10014-wOpenAlexW3123694359MaRDI QIDQ2071264

Onofrio Mario di Vincenzo, Vincenzo C. Nardozza

Publication date: 25 January 2022

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-020-10014-w

zbMATH Keywords

Lie algebrasupper triangular matricesderivation actiondifferential codimensionsdifferential polynomial identity

Mathematics Subject Classification ID

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)

Related Items (2)

\((\delta,\varepsilon)\)-differential identities of \(UT_m(F)\) ⋮ Differential identities and varieties of almost polynomial growth

Cites Work

• Cocharacter sequences of algebras with Hopf algebra actions
• Differential identities of semiprime rings
• Derivations of upper triangular matrix rings
• Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth
• Distinguishing simple algebras by means of polynomial identities
• Identical relations in Lie algebras
• 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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