last modified **Aug 6, 1996**

Also, we require the coefficient matrix and its adjoint

to satisfy

where

As usual we are willing to assume that all elements of our algebra are invertible. We wish to discover the classical solution to the orbit problem. It says (with lots of invertiblity conditions) that if there is a matrix

(1) | |

(2) |

then *y=F*(*x*). Conversely, if *y=F*(*x*),
then such a *w* and
*w*
exist.

What we would like to do is use