Sextonions and the magic square

Details Sextonions and the magic square Sextonions and the magic square

2004-11-19

arxiv.org/abs/math/0411428v1

J. London Math. Soc. (2006) 73 (2): 455-474

Mathematics

Rings and Algebras

Scientific paper

10.1112/S0024610706022605

Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and column. The extra row and column in the magic square corresponds to the sextonions. This is a six dimensional subalgebra of the split octonions which contains the split quaternions.

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