Immanant preserving and immanant converting maps

DOI10.1016/j.laa.2006.01.030zbMath1107.15002OpenAlexW2018577975MaRDI QIDQ852639

M. Purificação Coelho, Maria Antónia Duffner

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.01.030

zbMATH Keywords

determinantpermanentpreserversimmanantimmanants

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Linear transformations, semilinear transformations (15A04)

Related Items (12)

Unnamed Item ⋮ Converting immanants on singular symmetric matrices ⋮ Permanent Polya problem for additive surjective maps ⋮ On the Pólya permanent problem over finite fields ⋮ On linear preservers of permanental rank ⋮ Pólya convertibility problem for symmetric matrices ⋮ Arithmetic matrix operations that preserve conversion ⋮ Immanant conversion on symmetric matrices ⋮ Converting immanants on skew-symmetric matrices ⋮ Linear immanant converters on skew-symmetric matrices of order 4 ⋮ A note on immanant preservers ⋮ The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics

Cites Work

• Linear transformations that preserve immanants
• Determinant preserving maps on matrix algebras
• On linear preservers of immanants
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• The Permanent Function
• On the conversion of an immanant into another
• Linear Transformations that Preserve the Permanent

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