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Is there a name for the operator that reflects a matrix over the diagonal running from the top-right to the bottom-left? For the moment, define this reflection of a matrix $A$ as $A^*$. Is there a name for the family of matrices such that $A = A^*$? For example, let $$ A = \begin{bmatrix} 1 & -1 & -1 & 1\\ 0 & 1 & 0 & -1\\ 0 & 0 & 1 & -1\\ 0 & 0 & 0 & 1 \end{bmatrix}. $$

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I believe that such a matrix is said to be persymmetric.

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