A geometric construction of the exceptional Lie algebras F4 and E8

Details A geometric construction of the exceptional Lie algebras F4 and E8 A geometric construction of the exceptional Lie algebras F4 and E8

2007-06-19

arxiv.org/abs/0706.2829v1

Mathematics

Differential Geometry

12 pages

Scientific paper

10.1007/s00220-008-0581-7

We present a geometric construction of the exceptional Lie algebras F4 and E8
starting from the round 8- and 15-spheres, respectively, inspired by the
construction of the Killing superalgebra of a supersymmetric supergravity
background. (There is no supergravity in the paper.)

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