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Journal articles
Hyperdeterminants on semilattices
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.
Cited literature [15 references]
https://hal.archives-ouvertes.fr/hal-00085204
Contributor : Jean-Gabriel Luque Connect in order to contact the contributor
Submitted on : Wednesday, November 22, 2006 - 9:01:16 AM
Last modification on : Wednesday, March 2, 2022 - 10:10:07 AM
Long-term archiving on: : Thursday, September 23, 2010 - 4:33:17 PM
Contributor : Jean-Gabriel Luque Connect in order to contact the contributor
Submitted on : Wednesday, November 22, 2006 - 9:01:16 AM
Last modification on : Wednesday, March 2, 2022 - 10:10:07 AM
Long-term archiving on: : Thursday, September 23, 2010 - 4:33:17 PM
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meethypermatrices_v4.pdf
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