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On Non-Compact Groups. I. Classification of Non-Compact Real Simple Lie Groups and Groups Containing the Lorentz Group
A. O. Barut and R. Raczka
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 287, No. 1411 (Sep. 28, 1965), pp. 519-531
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2415038
Page Count: 13
You can always find the topics here!Topics: Algebra, Lie groups, Automorphisms, Linear transformations, Quaternions, Complex variables, Tensors, Mathematical vectors, Mathematics, Killing
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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.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1965 Royal Society