Suppose we have a module $M$ over a ring $R$. And let $E \in End(M)$ with characteristic polynomial $f$. Let the roots of $f$ be $λ_1,\dots,λ_d$. Then $E$ corresponds to one of these roots, say $λ_1$. ...
Hello everyone. Let $V$ and $W$ be finite dimensional vector spaces over some field $K$. Consider $\rho:Sym(V)\to End(W)$ a homomorphism of algebras with unit (i.e., a representation of $Sym(V)$ on ...
I'm looking for something like a Grassmannian, but which parameterizes the submodules of a module rather than the subspaces of a vector space. Most specifically, I'm looking for something which ...