Structures Preserved by Exceptional Lie Algebras

Details Structures Preserved by Exceptional Lie Algebras Structures Preserved by Exceptional Lie Algebras

2003-01-07

arxiv.org/abs/math-ph/0301006v1

Physics

Mathematical Physics

Scientific paper

For sp(n+2) and each exceptional Lie algebra a realization of depth 2
preserving the spaces spanned by a contact one-form and a bilinear form is
given. For e_7 and e_6 a realization of depth 1 preserving a lightcone and the
space spanned by a bilinear form is also presented. This makes the origin of
the exceptions clear.

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