Generators of matrix algebras in dimension 2 and 3 |
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| Authors: | Helmer Aslaksen Arne B Sletsjøe |
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| Institution: | a Dept. of Mathematics, National University of Singapore, Singapore 117543, Singapore
b Dept. of Mathematics, University of Oslo, P.O. Box 1053, Blindern, 0316 Oslo, Norway |
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| Abstract: | Let K be an algebraically closed field of characteristic zero and consider a set of 2×2 or 3×3 matrices. Using a theorem of Shemesh, we give conditions for when the matrices in the set generate the full matrix algebra. |
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| Keywords: | Generator Matrix Algebra |
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