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Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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Matrix invariants for simultaneous conjugation by a finite subgroup of $\textrm{GL}_n$
My question is, what is the analogous scenario for $S_n \subseteq \textrm{GL}_n$ where $S_n$ is the finite subgroup of permutation matrices? … What's interesting is that the equivariant maps on permutation-invariant (random) matrices form an operad, so there is a nice view of such maps and invariants. …