Hyperdeterminants on semilattices
arXiv:math/0607279
Abstract
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 Lindström to higher-dimensional determinants. And we gave as an application generalizations of some results due to Lehmer, Li and Haukkanen.
New version of "A remark about factorizing GCD-type Hyperdeterminants". Title changed. Results, examples and remarks added