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Characterization of supercommuting matrices |
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| Authors: | Claire Cates Haulk John Drew Charles R Johnson J Hunter Tart |
| Institution: | a Department of Mathematics, Georgia Institute of Technology, Atlanta, Georgia b Department of Mathematics, College of William and Mary, Williamsburg, Virginia c Department of Mathematics, Wake Forest University, Winston-Salem, North Carolina |
| Abstract: | For a given n-by-n matrix A, we consider the set of matrices which commute with A and all of whose principal submatrices commute with the corresponding principal submatrices of A. The properties of this set are examined, with particular attention to its dimension. |
| Keywords: | Commutativity Graph Principal submatrix Supercommutativity AMS Subject Classification: 15A27 05C50 |
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