Psi-functions, irreducible characters and a conjecture of merris and watkins

DOI10.1080/03081089308818258zbMath0789.15021OpenAlexW1993617879WikidataQ123268281 ScholiaQ123268281MaRDI QIDQ4271072

Thomas H. Pate

Publication date: 13 June 1994

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

Full work available at URL: https://doi.org/10.1080/03081089308818258

zbMATH Keywords

symmetric groupsirreducible charactersmatrix inequalitiespermanentsimmanantspositive semidefinite Hermitian matricesdominance conjecture

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30) Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

Inequalities involving immanants ⋮ A partial ordering of \({\mathbf C}S_ m\) defined by the generalized matrix functions ⋮ Hook immanants and symmetry-antisymmetry modules ⋮ Exterior products, elementary symmetric functions, and the Fischer determinant inequality ⋮ Group algebras, monotonicity, and the lieb permanent inequality

Cites Work

• Inequalities and identities for generalized matrix functions
• Generalizing the Fischer inequality
• Descending chains of immanants
• Partitions, Irreducible Characters, and Inequalities for Generalized Matrix Functions
• Permanents and Immanants of Hermitian Matrices
• Immant dominance orderings for hook partitions
• Inequalities relating groups of diagonal products in a gram matrix
• Invariant subspaces for certain linear transformations on a space of tensors
• Permanental dominance and the soules conjecture for certain right ideals in the group algebra
• Norm of symmetric product compared with norm of tensor product
• Some inequalities concerning immanants

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