On the number of invariant polynomials of matrix commutators

DOI10.1016/S0024-3795(96)00480-6zbMath0883.15010MaRDI QIDQ1361837

Enide Andrade Martins, Fernando Conceição Silva

Publication date: 22 March 1998

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

zbMATH Keywords

invariant polynomialsirreducible polynomialsmatrix commutator

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Commutativity of matrices (15A27) Actions of groups on commutative rings; invariant theory (13A50)

Related Items

On similarity invariants of matrix commutators ⋮ On similarity invariants of matrix commutators and Jordan products ⋮ On the invariant polynomials of Jordan products ⋮ On the eigenvalues of Jordan products

Cites Work

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• The number of invariant polynomials of a matrix with prescribed off-diagonal blocks
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• Matrices with prescribed submatrices and number of invariant polynomials
• The rank of a commutator
• A basis theorem for matrix algebras
• On the eigenvalues of the matrix
• Eigenvalues of matrix commutators^∗
• The number of invariant polynomials of a matrix with prescribed complementary submatrices