algissemisimple

Function: algissemisimple
Section: algebras
C-Name: algissemisimple
Prototype: iG
Help: algissemisimple(al): test whether the algebra al is semisimple.
Doc: \var{al} being a table algebra output by \tet{algtableinit} or a central
 simple algebra output by \tet{alginit}, tests whether the algebra \var{al} is
 semisimple.
 \bprog
 ? mt = [matid(3),[0,0,0;1,0,1;0,0,0],[0,0,0;0,0,0;1,0,1]];
 ? A = algtableinit(mt);
 ? algissemisimple(A)
 %3 = 0
 ? m_i=[0,-1,0,0;1,0,0,0;0,0,0,-1;0,0,1,0]; \\ quaternion algebra (-1,-1)
 ? m_j=[0,0,-1,0;0,0,0,1;1,0,0,0;0,-1,0,0];
 ? m_k=[0,0,0,-1;0,0,-1,0;0,1,0,0;1,0,0,0];
 ? mt = [matid(4), m_i, m_j, m_k];
 ? A = algtableinit(mt);
 ? algissemisimple(A)
 %9 = 1
 @eprog