Finitely based ideals of weak polynomial identities

DOI10.1080/00927879808826345zbMath0911.16016OpenAlexW2090732747MaRDI QIDQ4210791

Plamen Koshlukov

Publication date: 1 March 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826345

zbMATH Keywords

Clifford algebrasJordan algebrasbases of identitiesstandard identitiesdouble tableauxweak polynomial identities

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Identities and free Jordan structures (17C05)

Related Items

Jordan algebras of a degenerate bilinear form: Specht property and their identities ⋮ Generic \(2\times 2\) matrices in positive characteristic ⋮ 2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two ⋮ Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\) ⋮ Identities with involution for the matrix algebra of order two in characteristic \(p\). ⋮ Ideals of identities of representations of nilpotent lie algebras ⋮ Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras.

Cites Work

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• Polynomial identities for the Jordan algebra of a symmetric bilinear form
• Rational Hilbert series of relatively free Jordan algebras
• A characteristic free approach to invariant theory
• Weak polynomial identities for the matrix algebra of order two
• Minimal identities for jordan algebras of degree 2
• Weak polynomial identities for a vector space with a symmetric bilinear form
• Polynomial identities for a family of simple jordan algebras