Hyperdeterminants on semilattices

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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

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Combinatorics, General Mathematics, 15A15, 15A69, 06A12

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http://salesiana.dossiersoluciones.com/handle/123456789/114239

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607279
 http://arxiv.org/abs/math/0607279

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arXiv