A geometric construction of the exceptional Lie algebras F4 and E8

Jose Figueroa-O'Farrill

doi:10.1007/s00220-008-0581-7

A geometric construction of the exceptional Lie algebras F₄ and E₈

Jose Figueroa-O'Farrill

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

We present a geometric construction of the exceptional Lie algebras F₄ and E₈ starting from the round spheres S⁸ and S¹⁵, respectively, inspired by the construction of the Killing superalgebra of a supersymmetric supergravity background.

Original language	English
Pages (from-to)	663-674
Number of pages	12
Journal	Communications in Mathematical Physics
Volume	283
Issue number	3
DOIs	https://doi.org/10.1007/s00220-008-0581-7
Publication status	Published - Nov 2008

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10.1007/s00220-008-0581-7

http://link.springer.com/article/10.1007%2Fs00220-008-0581-7

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title = "A geometric construction of the exceptional Lie algebras F4 and E8",

abstract = "We present a geometric construction of the exceptional Lie algebras F4 and E8 starting from the round spheres S8 and S15, respectively, inspired by the construction of the Killing superalgebra of a supersymmetric supergravity background.",

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A geometric construction of the exceptional Lie algebras F₄ and E₈

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