Group algebras, monotonicity, and the lieb permanent inequality
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Publication:3124866
DOI10.1080/03081089608818438zbMath0866.15013OpenAlexW1996910106MaRDI QIDQ3124866
Publication date: 24 July 1997
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089608818438
monotonicityHermitian matricesgroup algebrapermanent inequalitygeneralized matrix functionsdeterminant functionsLaplace expansion formulas
Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Algebraic systems of matrices (15A30)
Related Items (6)
A generalized Neuberger identity for the inner product of symmetric products of tensors ⋮ On permanental compounds ⋮ Twisted inner products and contraction inequalities on spaces of contravariant and covariant tensors ⋮ Exterior products, elementary symmetric functions, and the Fischer determinant inequality ⋮ A machine for producing inequalities involving immanants and other generalized matrix functions ⋮ A new lower bound inequality for the norm of the symmetric product
Cites Work
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- Inequalities and identities for generalized matrix functions
- On majorization and Schur products
- Lower bounds for permanents of Gram matrices having a rank one principal submatrix
- Partitions, Irreducible Characters, and Inequalities for Generalized Matrix Functions
- Permanental Inequalities for Correlation Matrices
- Permanents and Immanants of Hermitian Matrices
- Inequalities relating groups of diagonal products in a gram matrix
- Tensor products, symmetric products, and permanents of positive semi-definite Hermitian matrices
- 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
- Is There a Permanental Analogue to Oppenheim's Inequality?
- Research problems
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