Abstract :
The maximal graded subalgebras of the restricted simple Lie algebras of Cartan type Wn, Sn, Hn, and Kn are studied. The notion of an R-subalgebra and that of an S-subalgebra are introduced for maximal subalgebras. All maximal R-subalgebras are described completely. The number of conjugacy classes, representatives of conjugacy classes and the dimensions of all R-subalgebras are found. An invariant description of graded S-subalgebras is also obtained.
