|
|||||
|
|
Characterization of supercommuting matrices |
|
| Authors: | Claire Cates Haulk John Drew Charles R Johnson J Hunter Tart |
| Institution: | 1. Department of Mathematics , Georgia Institute of Technology , Atlanta, Georgia;2. Department of Mathematics , College of William and Mary , Williamsburg, Virginia, 23187-8795;3. 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 |