Minimal graded Lie algebras and representations of quadratic algebras

Hubert Rubenthaler

Let $({\go g}\_{0},B\_{0})$ be a quadratic Lie algebra (i.e. a Lie algebra $\go{g}\_{0}$ with a non degenerate symmetric invariant bilinear form $B\_0$) and let $(\rho ,V)$ be a fini…