eldorado.tu-dortmund.de/server/api/core/bitstreams/19d14213-116b-46c9-9210-9383e61d2177/content
has the standard form
−2 0 1 0 0 0 0 0 0 −2 0 1 0 0 0 0 1 0 −2 1 0 0 0 0 0 1 1 −2 1 0 0 0 0 0 0 1 −2 1 0 0 0 0 0 0 1 −2 1 0 0 0 0 0 0 1 −2 1 0 0 0 0 0 0 1 −2
There are 3 possibilities [...] the action of ∆:
{T0,0,0,0} , {T0,0,0,1, T0,0,1,0, T0,1,0,0, T1,0,0,0} , {T0,0,1,1, T1,1,0,0} , {T0,1,0,1, T1,0,1,0} , {T0,1,1,0, T1,0,0,1} , {T0,1,1,1, T1,0,1,1, T1,1,0,1, T1,1,1,0} , {T1,1,1,1}
All in [...] matrices
( i 0 0 −i
) ,
( 0 i i 0
) and
( 0 −1 1 0
) .
As real matrices, i, j and k can therefore be written as
0 −1 0 0 1 0 0 0 0 0 0 1 0 0 −1 0
,
0 0 0 −1 0 0 1 0 0 −1 0 0 1 0 0 0
and …