Representations with a reduced null cone
Representations with a reduced null cone
Let G be a complex reductive group and V a G-module. Let \(\pi: V \rightarrow V/\!\!/G\) be the quotient morphism defined by the invariants and set \(\mathcal{N}(V ):=\pi ^{-1}(\pi (0))\). We consider the following question. Is the null cone \(\mathcal{N}(V )\) reduced, i.e., is the ideal of \(\mathcal{N}(V )\) generated …