Partitions, Irreducible Characters, and Inequalities for Generalized Matrix Functions

DOI10.2307/2001652zbMath0729.15008OpenAlexW4241562084MaRDI QIDQ3353184

Thomas H. Pate

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2001652

zbMATH Keywords

partitioninequalitiestensor productirreducible characterYoung subgroupgeneralized matrix functionpositive semidefinite Hermitian matrixinduced character

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Multilinear algebra, tensor calculus (15A69)

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Cites Work

• Inequalities and identities for generalized matrix functions
• Generalizing the Fischer inequality
• Permanents and Immanants of Hermitian Matrices
• Immant dominance orderings for hook partitions
• Permanental dominance and the soules conjecture for certain right ideals in the group algebra
• Norm of symmetric product compared with norm of tensor product
• The Hadamard Theorem for Permanents
• On two classical results of I. Schur
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