Some Remarks on a Generalized Vector Product

Abstract

In this paper we use a generalized vector product to construct an exterior form $\wedge :({\mathbb{R}}^n{)}^k\to {\mathbb{R}}^{\left(\genfrac{}{}{0ex}{}{n}{k}\right)}$, where $\left(\genfrac{}{}{0ex}{}{n}{k}\right)=\frac{n!}{(n-k)!k!}$, $k\le n$. Finally, for $n=k-1$ we introduce the reversing operation to study this generalized vector product over palindromic and antipalindromic vectors.

arXiv comment10 pages, 14 pages in the published version: Revista Integración

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