Standard Polynomials in Matrix Algebras

DOI10.2307/1996962zbMath0286.16012OpenAlexW4231692472MaRDI QIDQ4774153

Louis Halle Rowen

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996962

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Rings with polynomial identity (16Rxx)

Related Items (18)

Minimal degree of identities of matrix algebras with additional structures ⋮ Standard polynomials and matrices with superinvolutions ⋮ *-polynomial identities of matrices with the transpose involution: The low degrees ⋮ An identity of degree \(2n - 3\) for the \(n{\times}n\) skews, \(n\) even, and corollaries for standard identities ⋮ Minimal degree of standard identities of matrix algebras with symplectic graded involution ⋮ Invariant theory in exterior algebras and Amitsur-Levitzki type theorems ⋮ Quasi-Polynomials of Capelli. II ⋮ A Lie algebra generalization of the Amitsur-Levitski theorem ⋮ Standard identities for skew-symmetric matrices ⋮ Associative rings ⋮ Identities in algebras with involution ⋮ The invariant theory of \(n\times n\) matrices ⋮ On *-polynomial identities for n\(\times n\) matrices ⋮ To Chang Theorem. III ⋮ Graded polynomial identities for matrices with the transpose involution ⋮ Matrix algebras with involution and standard polynomial identities in symmetric variables ⋮ Unnamed Item ⋮ Applications of Graph Theory to Matrix Theory

Cites Work

• Unnamed Item
• Triality and Lie algebras of type \(D_4\)
• Applications of Graph Theory to Matrix Theory
• Minimal Identities for Algebras

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