Basis of identities of a three-dimensional simple Lie algebra over an infinite field

DOI10.1007/BF01979196zbMath0707.17003WikidataQ115393024 ScholiaQ115393024MaRDI QIDQ919443

S. Yu. Vasilovskij

Publication date: 1989

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187488

zbMATH Keywords

finite basisT-idealsSpecht propertypolynomial identitiesinfinite fieldweak identitiesFilippov's theorem

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (12)

-graded identities of the Lie algebras in characteristic 2 ⋮ Central polynomials in the matrix algebra of order two. ⋮ GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl₂(K) ⋮ Ordinary and graded cocharacter of the Jordan algebra of \(2 \times 2\) upper triangular matrices ⋮ GK dimension of the relatively free algebra for \(sl_2\) ⋮ Weak polynomial identities and their applications ⋮ Polynomial identities of Banach algebras ⋮ \(G\)-identities for the Lie algebra \(sl_2(\mathbb{C})\) ⋮ Equations in simple Lie algebras ⋮ Identities for the special linear Lie algebra with the Pauli and Cartan gradings ⋮ Identities with involution for the matrix algebra of order two in characteristic \(p\). ⋮ Graded identities for Kac-Moody and Heisenberg algebras with the Cartan grading

Cites Work

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• A characteristic free approach to invariant theory
• \(\Sigma\)-predicates of finite types over an admissible set
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory

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