A parametrization of matrix conjugacy orbit sets as unions of
affine planes Peteris Dauguis Department of Mathematics
Daugavpils University Daugavpils Paredes 1 Latvia Abstract. The
problem of finding a canonical form of complex matrices up to
conjugacy with the set of canonical matrices being a union of
affine planes in the matrix space is considered. A solution of
the problem is given producing a new canonical form for matrices
over algebraically closed fields. Key words. Jordan form,
rational form, eigenvalue, Weyr characteristic, affine plane.
MSC 15A21.