Trace Identities and Z/2Z-Graded Invariants

DOI10.2307/2000926zbMath0706.16015OpenAlexW4247268066MaRDI QIDQ3487582

Allan Berele

Publication date: 1988

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000926

zbMATH Keywords

Cayley-Hamilton theoremtrace identitiesalgebra of \(n\times n\) matrices\(\mathbf Z/2\mathbf Z\)-graded invariant theory

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Trace rings and invariant theory (associative rings and algebras) (16R30) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (9)

Minimal \(J\)-trace identities for \(M(n,n)\) and queer trace identities for \(M_{n}(E)\) ⋮ On the codimensions of the verbally prime P.I. algebras ⋮ Invariant theory and trace identities associated with Lie color algebras ⋮ $GL_n$-invariant functions on $M_n(\mathcal{G})$ ⋮ Computing super matrix invariants. ⋮ \(J\)-trace identities and invariant theory. ⋮ Asymptotic codimensions of \(M_k(E)\) ⋮ On the characteristic polynomial of supermatrices ⋮ Graded polynomial identities of matrices

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