On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group

Abstract

The classification of all simple real Lie groups is discussed and given explicitly in the form of tables. In particular four classes of groups are identified which contain the Lorentz group. These are the groups which leave bilinear forms in real, complex and quaternionic spaces invariant, and the unimodular group in n -dimension.