Hyperdeterminants on semilattices

Details Hyperdeterminants on semilattices Hyperdeterminants on semilattices

2006-07-12

arxiv.org/abs/math/0607279v3

Mathematics

Combinatorics

New version of "A remark about factorizing GCD-type Hyperdeterminants". Title changed. Results, examples and remarks added

Scientific paper

We compute hyperdeterminants of hypermatrices whose indices belongs in a meet-semilattice and whose entries depend only of the greatest lower bound of the indices. One shows that an elementary expansion of such a polynomial allows to generalize a theorem of Lindstr\"om to higher-dimensional determinants. And we gave as an application generalizations of some results due to Lehmer, Li and Haukkanen.

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