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Noncommutative-nilpotent matrices and the jacobian conjecture |
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| Authors: | Jie-Tai Yu |
| Institution: | a Department of Mathematics, The University of Hong Kong, Hong Kong |
| Abstract: | We prove that a polynomial map F = X + H ∈ kX] with homogeneous H(k is a field of characteristic zero) is linear triangularizable if and only if the Jacobian matrix J(H) is a noncommutative-nilpotent matrix. |
| Keywords: | Noncommutative nilpotent matrices strongly nilpotent matrices Jacobian conjecture polynomial automorphisms linear triangularization triangular matrices |
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