Nicolas Goze

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math.RA2009

n-Lie algebras

Michel Goze, Nicolas Goze, Elisabeth Remm

The notion of $n$ -ary algebras, that is vector spaces with a multiplication concerning $n$ -arguments, $n \geq 3$ , became fundamental since the works of Nambu. Here we first present…

math.RA2009

The n-ary algebra of tensors and of cubic and hypercubic matrices

Nicolas Goze, Elisabeth Remm

We define a ternary product and more generally a (2k+1)-ary product on the vector space T^p_q(E) of tensors of type (p, q) that is contravariant of order p, covariant of order q an…