摘要 : For a given abelian group G, we classify the isomorphism classes of G-gradings on the simple Lie algebras of types A_n (n≥1), Bn (n≥2), C_n (n≥3) and D_n (n>4), in terms of numerical and group-theoretical invariants. The ground fi... 展开 For a given abelian group G, we classify the isomorphism classes of G-gradings on the simple Lie algebras of types A_n (n≥1), Bn (n≥2), C_n (n≥3) and D_n (n>4), in terms of numerical and group-theoretical invariants. The ground field is assumed to be algebraically closed of characteristic different from 2. 收起