Primitive subalgebras of exceptional Lie algebras

Martin Aaron Golubitsky and Bruce Lee Rothschild

Vol. 39 (1971), No. 2, 371–393

DOI: 10.2140/pjm.1971.39.371

Abstract

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.

Mathematical Subject Classification 2000

Primary: 22E60

Secondary: 17B20

Milestones

Received: 12 April 1971

Published: 1 November 1971