Some Remarks on a Generalized Vector Product
  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. 
Primitivo B. Acosta-Hum\'anez, Mois\'es Aranda and Reinaldo N\'u\~nez
math.RA