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2012-12-28 04:43:08 +0200 | commented question | Can I get the invariant subspaces of a matrix group action? Let's say not necessarily a finite group, but generated by two or three explicitly-given matrices. |
2012-06-07 18:58:55 +0200 | asked a question | Can I get the invariant subspaces of a matrix group action? Suppose I have a [EDIT: finitely-generated] matrix group $G \leq GL_n$, acting on $V = k^n$ in the usual way. Is there some way to calculate the $G$-invariant subspaces of $V$? Failing that, is there an easy way to ask if $V$ is irreducible as a $G$-module? |