Algebraic groups associated with graded lie algebras of cartan type

摘要

For a graded simple Lie algebra of Cartan type L = X(m :n)~(2), X ∈ {W,S,H,K}, over a field F of odd characteristic p, the group generated by one-parameter subgroups of the form exp(tady) is described, where y ∈ L + F_u satisfying y~p = 0, t ∈F and u is some fixed element of the p-enveloep of L in Der(m : n).