Group gradings on restricted Cartan-type Lie algebras
Group gradings on restricted Cartan-type Lie algebras
For a given abelian group G, we classify the isomorphism classes of Ggradings on the simple restricted Lie algebras of types W (m;1) and S(m;1) for m ≥ 2, in terms of numerical and group-theoretical invariants.Our main tool is automorphism group schemes, which we determine for the simple restricted Lie …