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.