Trace Identities for Matrices with the Transpose Involution

DOI10.1080/00927872.2011.649509zbMath1321.15028OpenAlexW2112114624MaRDI QIDQ2842331

Jordan Dale Hill

Publication date: 13 August 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.649509

zbMATH Keywords

matricestrace identitiesinvolutionpolynomial identities

Mathematics Subject Classification ID

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

Related Items (2)

An identity of degree \(2n - 3\) for the \(n{\times}n\) skews, \(n\) even, and corollaries for standard identities ⋮ Matrix algebras with involution and standard polynomial identities in symmetric variables

Cites Work

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• Standard identities for skew-symmetric matrices
• The invariant theory of \(n\times n\) matrices
• Identities in rings with involutions
• A simple proof of Kostant’s theorem, and an analogue for the symplectic involution
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• *-polynomial identities of matrices with the transpose involution: The low degrees

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