Some generators for the algebra of n×n matrices |
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Authors: | Fergus Gaines |
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Affiliation: | a University College, Ireland |
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Abstract: | In this note, we show how the algebra of n×n matrices over a field can be generated by a pair of matrices AB, where A is an arbitrary nonscalar matrix and B can be chosen so that there is the maximum degree of linear independence between the higher commutators of B with A. |
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