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A parametrization of matrix conjugacy orbit sets as unions of affine planes

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(2011)cite arxiv:1110.0907Comment: a modified version of the same title paper submitted on 05.10.2011.

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.

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