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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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Invariant subspaces of permutation matrix [closed]

Let $\sigma$ be a permutation matrix of order $n$. What are all the invariant subspaces of $\sigma$? (I can only find 1 and n-1 dimensional subspaces) Thanks in advance.