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math.GR2007★ 1 cited
Linear maps preserving fibers
Gerald W. Schwarz
Let $G\subset\GL(V)$ be a complex reductive group where , and let $π\colon V\to\quot VG$ be the categorical quotient. Let $\NN:=π\invπ(0)$ be the null cone of , l…
math.RT2007
Linear maps preserving invariants
Gerald W. Schwarz
Let $G\subset\GL(V)$ be a complex reductive group. Let denote $\{ϕ\in\GL(V)\mid p\circϕ=p\text{for all} p\in\C[V]^G\}$. We show that, in general, . In case is the ad…