THE RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES Bn AND Dn TO SUBGROUPS OF TYPE A2

Restrictions of modular p-restricted representations of algebraic groups of types B-n (n > 2) and D-n (n > 3) to naturally embedded subgroups of type A(2) are studied. The composition factors of such restrictions are determined in the case of locally small highest weights. Here the class of locally small weights depends upon the type of a group considered and is defined in terms of their values on four simple roots linked at the Dynkin diagram of a group.