Some Remarks on a Generalized Vector Product

Details Some Remarks on a Generalized Vector Product Some Remarks on a Generalized Vector Product

2011-11-03

arxiv.org/abs/1111.1116v2

Mathematics

Rings and Algebras

10 pages, 14 pages in the published version: Revista Integraci\'on

Scientific paper

In this paper we use a generalized vector product to construct an exterior
form $\wedge :(\mathbb{R}^{n}) ^{k}\to \mathbb{R}^{\binom{n}{k}}$, where
$\binom{n}{k}=\frac{n!}{(n-k)!k!}$, $k\leq n$. Finally, for $n=k-1$ we
introduce the reversing operation to study this generalized vector product over
palindromic and antipalindromic vectors.

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