Descending chains of immanants

DOI10.1016/0024-3795(92)90398-TzbMath0744.15009MaRDI QIDQ1183213

Thomas H. Pate

Publication date: 28 June 1992

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

zbMATH Keywords

dominance theoremirreducible characterpartial orderinggeneralized matrix functionimmanantpositive semidefinite Hermitian matrixdescending chains of immanantsordering of the immanant \(S\)

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Inequalities involving immanants ⋮ Psi-functions, irreducible characters and a conjecture of merris and watkins ⋮ A partial ordering of \({\mathbf C}S_ m\) defined by the generalized matrix functions ⋮ Hook immanantal inequalities for Laplacians of trees ⋮ Multilinear algebra: Recent applications ⋮ Hook immanants and symmetry-antisymmetry modules ⋮ Exterior products, elementary symmetric functions, and the Fischer determinant inequality ⋮ An update on Minc's survey of open problems involving permanents

Cites Work

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• Inequalities relating groups of diagonal products in a gram matrix
• Permanental dominance and the soules conjecture for certain right ideals in the group algebra
• On the μ-colorings of a matroid