Linear preservers of immanants on symmetric matrices

DOI10.1016/S0024-3795(96)00160-7zbMath0944.15004MaRDI QIDQ677820

M. Purificação Coelho, Maria Antónia Duffner

Publication date: 16 April 1997

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

zbMATH Keywords

symmetric groupsymmetric matricesimmanantsirreducible nonlinear character

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (10)

Unnamed Item ⋮ Permanent Polya problem for additive surjective maps ⋮ Linear preservers of Schur functions ⋮ Linear preservers of immanants on skew-symmetric matrices ⋮ Immanant conversion on symmetric matrices ⋮ Converting immanants on skew-symmetric matrices ⋮ Linear preservers of the permanent on skew-symmetric matrices ⋮ Linear immanant converters on skew-symmetric matrices of order 4 ⋮ On the Conversion of an Immanant into Another on Symmetric Matrices ⋮ The multilinear algebra of José Dias da Silva and the Portuguese school of mathematics

Cites Work

• Unnamed Item
• Linear transformations on symmetric matrices that preserve the permanent
• Linear transformations that preserve immanants

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