Hyperdeterminants on semilattices

DOI10.1080/03081080701300434zbMath1143.15003arXivmath/0607279OpenAlexW2048950212MaRDI QIDQ3502322

Jean-Gabriel Luque

Publication date: 23 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0607279

zbMATH Keywords

multiplicative functionshyperdeterminantsmeet-semilatticesGCD matriceshypermatrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of determinants (65F40) Multilinear algebra, tensor calculus (15A69) Matrices of integers (15B36) Semilattices (06A12) Matrices, determinants in number theory (11C20)

Related Items (7)

Hyperdeterminants on meet-semilattices ⋮ Determinant and inverse of join matrices on two sets ⋮ On the positive definiteness and eigenvalues of meet and join matrices ⋮ Hyperdeterminantal expressions for Jack functions of rectangular shapes ⋮ On unitary analogs of GCD reciprocal LCM matrices ⋮ On meet hypermatrices and their eigenvalues ⋮ Some properties of row-adjusted meet and join matrices

Cites Work

• The determinants of GCD matrices
• Higher-dimensional gcd matrices
• On Smith's determinant
• On meet and join matrices associated with incidence functions.
• On meet matrices on posets
• Advanced determinant calculus: a complement
• Another generalisation of smith's determinant
• GCD matrices, posets, and nonintersecting paths
• Determinants on Semilattices
• Hadamard determinants Möbius functions, and the chromatic number of a graph

This page was built for publication: Hyperdeterminants on semilattices