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.
A Clifford algebra approach to simple Lie algebras of real rank two, I; the A_2 case
CIATTI, PAOLO
2000
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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