Construction of invariants
Construction of invariants
Let $G$ be a connected reductive group defined over the complex number field $C,$ $V$ a finite dimensional vector space and $\rho:G\rightarrow GL(V)$ a rational repre- sentation of $G$ .Such a triplet $(G, \rho, V)is$ called a prehomogeneous vector space if $V$ has an open G-orbit, and called irreducible if …