M. Golubitsky and B. Rothschild

Primitive subalgebras of exceptional lie algebras

Pac. J. Math. 39 No. 2 (1971) 371-393. See also: Bull. AMS 77 No. 6 (1971) 983-986.




The object of this paper is to classify (up to inner automorphism) the primitive, maximal rank, reductive subalgebras of the (complex) exceptional Lie algebras. By primitive we mean that the subalgebras correspond to (possibly disconnected) maximal Lie subgroups.