Standard identities for skew-symmetric matrices

DOI10.1016/j.laa.2008.04.006zbMath1153.15309OpenAlexW2070503972MaRDI QIDQ932148

Jordan Dale Hill

Publication date: 10 July 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.006

zbMATH Keywords

polynomialspolynomial identitiesskew-symmetricPI-algebra

Mathematics Subject Classification ID

Matrix equations and identities (15A24) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (3)

An identity of degree \(2n - 3\) for the \(n{\times}n\) skews, \(n\) even, and corollaries for standard identities ⋮ Polynomial identities for matrices symmetric with respect to the symplectic involution. ⋮ Trace Identities for Matrices with the Transpose Involution

Cites Work

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• Special varieties of Jordan algebras
• A Lie algebra generalization of the Amitsur-Levitski theorem
• On *-polynomial identities for n\(\times n\) matrices
• Identities in rings with involutions
• Minimal Identities of Symmetric Matrices
• A simple proof of Kostant’s theorem, and an analogue for the symplectic involution
• *-polynomial identities of matrices with the transpose involution: The low degrees
• Standard Polynomials in Matrix Algebras
• Minimal Identities for Algebras

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