Wikipedia:Reference desk/Archives/Mathematics/2013 August 20

= August 20 =

Name for a particular type of hypercomplex number
Is there a name for the associative and commutative four-dimensional algebra over R (the real numbers) that is the Klein four-group R-algebra, R[V]? It is a kind of hypercomplex number with a multiplication table that is like that of the quaternions and bicomplex numbers, except with all minus signs removed, as in Dimensional analysis. Also defined by i$2$ = j$2$ = k$2$ = ijk = +1. It also may be defined as the direct sum of rings R⊕R⊕R⊕R. — Quondum 22:18, 20 August 2013 (UTC)