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11. Finding rational simple eigenvalues of a noncommutative rational


    1. Add remark

      Problem 11.1.

      [Jurij Volčič] Suppose $r$ is a noncommutative rational function. Can we find $\Xi$, a tuple of matrices over the field of univariate rational functions, such that $r(\Xi)$ is a matrix of rational functions with a simple rational eigenvalue?
        1. Remark. This is related to the centralizer problem for the free skew field.

              Cite this as: AimPL: Noncommutative inequalities, available at http://aimpl.org/noncommineqV.