A partial ordering of \({\mathbf C}S_ m\) defined by the generalized matrix functions

DOI10.1016/S0024-3795(96)00204-2zbMath0872.20013MaRDI QIDQ1355211

Jun Wu

Publication date: 18 August 1997

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

zbMATH Keywords

partial orderingsgeneralized matrix functionspositive semidefinite Hermitian matricessymmetric group algebras

Mathematics Subject Classification ID

Partial orders, general (06A06) Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (2)

Extreme rays and faces for the cone of class functions non-negative on the set of Gram matrices ⋮ Extreme rays for cones of Hermitian matrix functions that are non-negative on the positive semi-definite matrices

Cites Work

• Descending chains of immanants
• Nonzero decomposable symmetrized tensors
• Immanant Inequalities and Partition Node Diagrams
• Psi-functions, irreducible characters and a conjecture of merris and watkins
• On the μ-colorings of a matroid

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