Adjoint representations of exceptional Lie algebras

M. A. Olshanetsky, V.-B. K. Rogov


Abstract: Commutation relations of Lie algebras are described by means of the magic square. A new nonsymmetric modification of the magic square is suggested. A comparison with the known symmetric constructions is carried out and some decompositions of exceptional Lie algebras are considered.

Received: 28.02.1986

 English version: Theoretical and Mathematical Physics, 1987, 72:1, 679–685

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