Hook immanants and symmetry-antisymmetry modules

DOI10.1080/03081089508818366zbMath0831.20014OpenAlexW2052256531MaRDI QIDQ4853913

Thomas H. Pate

Publication date: 5 November 1995

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

Full work available at URL: https://doi.org/10.1080/03081089508818366

zbMATH Keywords

group algebraquadratic formsleft idealsclass functionshook immanantsSchur power matricessymmetry-antisymmetry modules

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Cites Work

• Inequalities and identities for generalized matrix functions
• Descending chains of immanants
• Generalized Schur functions
• Partitions, Irreducible Characters, and Inequalities for Generalized Matrix Functions
• Constructing symmetric nonnegative matrices
• Immant dominance orderings for hook partitions
• A generalization of hadamard's inequality
• Immanant Inequalities and Partition Node Diagrams
• Psi-functions, irreducible characters and a conjecture of merris and watkins
• Immanant Inequalities, Induced Characters, and Rank Two Partitions
• Permanental dominance and the soules conjecture for certain right ideals in the group algebra
• Some inequalities concerning immanants

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