The determinants of certain matrices arising from the Boolean lattice

DOI10.1016/j.disc.2007.09.055zbMath1157.06002OpenAlexW2082408521MaRDI QIDQ998467

Masao Hara, Junzo Watanabe

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.09.055

zbMATH Keywords

Boolean latticeSperner propertyfinite chain product

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Combinatorics of partially ordered sets (06A07)

Related Items (max. 100)

New necessary and sufficient condition and algorithm for directed hamiltonian graph based on boolean determinant theory ⋮ Monomial complete intersections, the weak Lefschetz property and plane partitions ⋮ The combinatorics of supertorus sheaf cohomology ⋮ Fermionic diagonal coinvariants and exterior Lefschetz elements ⋮ Equivariant log-concavity of graph matchings ⋮ Trivariate monomial complete intersections and plane partitions ⋮ The Lefschetz properties of monomial complete intersections in positive characteristic ⋮ Determinants of incidence and Hessian matrices arising from the vector space lattice ⋮ On mixed Hessians and the Lefschetz properties ⋮ A note on a conjecture regarding the weak Lefschetz property of a special class of Artinian algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Product evaluations of Lefschetz determinants for Grassmannians and of determinants of multinomial coefficients
• A diagonal form for the incidence matrices of \(t\)-subsets vs. \(k\)- subsets
• The finite free extension of Artinian \(K\)-algebras with the strong Lefschetz property
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property

This page was built for publication: The determinants of certain matrices arising from the Boolean lattice