Nonhomogeneous subalgebras of Lie and special Jordan superalgebras

DOI10.1016/j.jalgebra.2009.06.014zbMath1196.17025OpenAlexW2051765033WikidataQ115351287 ScholiaQ115351287MaRDI QIDQ734759

Murray R. Bremner, Luiz Antonio Peresi

Publication date: 13 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.06.014

zbMATH Keywords

identitiesLie superalgebraHermite normal formLLL algorithmChinese remainder theoremJordan superalgebrasymmetric group representation

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Computational methods for problems pertaining to nonassociative rings and algebras (17-08) Super structures (17C70)

Related Items (8)

Jordan quadruple systems ⋮ Unnamed Item ⋮ Polynomial Identities for Tangent Algebras of Monoassociative Loops ⋮ Lie and Jordan Products in Interchange Algebras ⋮ Symmetric matrices, orthogonal Lie algebras and Lie-Yamaguti algebras ⋮ The Composition Structure of Alternative and Malcev Algebras ⋮ Special Identities for Quasi-Jordan Algebras ⋮ A retrospect of the research in nonassociative algebras in IME-USP

Cites Work

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• Factoring polynomials with rational coefficients
• Metasymmetry and Volichenko algebras
• Volichenko algebras and nonhomogeneous subalgebras of Lie superalgebras
• A Simplification of the Computation of the Natural Representation of the Symmetric Group S n

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