Finding the centraliser algebra in Sage

asked 2025-01-12 10:27:50 +0100

sagequstions gravatar image

updated 2025-01-12 10:28:22 +0100

Let $M_1,...,M_r$ be a finite list of $n \times n$-matrices over a field $K$. Is there a way, using Sage, to obtain the centralizer algebra (or at least its vector space dimension) of those matrices?

In GAP there is the command FullMatrixAlgebraCentralizer that does this, but I generate the large matrices over sage, so it would be better to have a way to do it in Sage directly.

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