Permanental dominance and the soules conjecture for certain right ideals in the group algebra

DOI10.1080/03081088908817906zbMath0738.15005OpenAlexW2017479479WikidataQ122864251 ScholiaQ122864251MaRDI QIDQ4710520

Thomas H. Pate

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/03081088908817906

zbMATH Keywords

group algebrasymmetric groupirreducible characterright idealspermanent dominance conjectureSoules conjecture

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Representations of finite symmetric groups (20C30) Vector and tensor algebra, theory of invariants (15A72) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (12)

An approach to the permanental-dominance conjecture ⋮ Inequalities involving immanants ⋮ Psi-functions, irreducible characters and a conjecture of merris and watkins ⋮ An update on a few permanent conjectures ⋮ Partitions, Irreducible Characters, and Inequalities for Generalized Matrix Functions ⋮ Tensor products, symmetric products, and permanents of positive semi-definite Hermitian matrices ⋮ Hook immanants and symmetry-antisymmetry modules ⋮ Descending chains of immanants ⋮ Exterior products, elementary symmetric functions, and the Fischer determinant inequality ⋮ A machine for producing inequalities involving immanants and other generalized matrix functions ⋮ An update on Minc's survey of open problems involving permanents ⋮ Spherical functions and immanants

Cites Work

• Lower bounds for the norm of the symmetric product
• Constructing symmetric nonnegative matrices
• Norm of symmetric product compared with norm of tensor product
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