## Friday, March 14, 2014

### sedenion

In abstract algebra, sedenions form a 16-dimensional non-associative algebra over the reals obtained by applying the Cayley–Dickson construction to the octonions. The set of sedenions is denoted by $\mathbb{S}$.

The term "sedenion" is also used for other 16-dimensional algebraic structures, such as a tensor product of 2 copies of the quaternions, or the algebra of 4 by 4 matrices over the reals.