Journal of Lie Theory, Vol. 10, No. 1, pp. 53-80 (2000)

A Clifford algebra approach to simple Lie algebras of real rank two, I: the $A_2$ case

Paolo Ciatti

Dipartimento di Matematica
Politecnico di Torino
Corso Duca degli Abruzzi 24
10129, Torino
Italy

Abstract: By using Clifford algebraic methods, we classify all real semisimple Lie algebras of type $A_2$. This approach to the classification avoids the need to discuss the real and complex cases separately, and also provides interesting information about the structure of the algebras.

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