Linear transformations that preserve immanants

DOI10.1016/0024-3795(94)90504-5zbMath0803.15010OpenAlexW2002417042MaRDI QIDQ1320005

Maria Antónia Duffner

Publication date: 9 January 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90504-5

zbMATH Keywords

irreducible charactergeneralized matrix functiongeneralized Schur functionimmanants preserves

Mathematics Subject Classification ID

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

Related Items (15)

On the conversion of an immanant into another ⋮ Linear preservers for the \(q\)-permanent, cycle \(q\)-permanent expansions, and positive crossings in digraphs ⋮ Immanant preserving and immanant converting maps ⋮ Permanent Polya problem for additive surjective maps ⋮ Linear preservers of Schur functions ⋮ \(P\) versus \(NP\) and geometry ⋮ On the linear preservers of Schur matrix functionals ⋮ Linear preservers of immanants on skew-symmetric matrices ⋮ Linear preserves of the permanent on symmetric matrices ⋮ Linear preservers of immanants on symmetric matrices ⋮ The stabilizer of immanants ⋮ Converting immanants on skew-symmetric matrices ⋮ Linear immanant converters on skew-symmetric matrices of order 4 ⋮ The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics ⋮ On linear preservers of immanants

Cites Work

• Linear preserver problems: A brief introduction and some special techniques
• Interlacing inequalities. Matrix groups
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• The Permanent Function
• Invertibility of linear maps preserving matrix invariants
• Linear transformations on matrices: rank 1 preservers and determinant preservers
• Linear Transformations that Preserve the Permanent

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