Inequalities in products of minors of totally nonnegative matrices
From MaRDI portal
Publication:1768526
DOI10.1023/B:JACO.0000047282.21753.aezbMath1066.05089OpenAlexW2094283797MaRDI QIDQ1768526
Publication date: 15 March 2005
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:jaco.0000047282.21753.ae
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)
Related Items
Arrangements of equal minors in the positive Grassmannian ⋮ Kazhdan-Lusztig immanants and products of matrix minors ⋮ Multicomplexes and polynomials with real zeros ⋮ Multiplicative principal-minor inequalities for totally nonnegative matrices ⋮ Temperley-Lieb Pfaffinants and Schur \(Q\)-positivity conjectures ⋮ On products of \({\mathfrak {sl}}_{n}\) characters and support containment ⋮ On generators of bounded ratios of minors for totally positive matrices ⋮ Kazhdan–Lusztig immanants and products of matrix minors, II ⋮ Arrangements of minors in the positive Grassmannian and a triangulation of the hypersimplex ⋮ Ising model and the positive orthogonal Grassmannian ⋮ Interlacing networks: birational RSK, the octahedron recurrence, and Schur function identities ⋮ On the sign patterns of entrywise positivity preservers in fixed dimension
Cites Work
- Unnamed Item
- Unnamed Item
- On totally positive matrices
- Coincidence probabilities
- Binomial determinants, paths, and hook length formulae
- Some properties of totally positive matrices
- Multiplicative principal-minor inequalities for totally nonnegative matrices
- Combinatorics and total positivity
- A reduction theorem for totally positive matrices
- On the Vector Representations of Induced Matroids
- Total positivity: tests and parametrizations.
