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Hyperdeterminants on semilattices

Jean-Gabriel Luque
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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.

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Jean-Gabriel Luque. 2006-11-22. Hyperdeterminants on semilattices. https://arxiv.org/abs/math/0607279

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