$E_8$, the most exceptional group
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Abstract:
The five exceptional simple Lie algebras over the complex number are included one within the other as $\mathfrak {g}_2 \subset \mathfrak {f}_4 \subset \mathfrak {e}_6 \subset \mathfrak {e}_7 \subset \mathfrak {e}_8$. The biggest one, $\mathfrak {e}_8$, is in many ways the most mysterious. This article surveys what is known about it, including many recent results, and it focuses on the point of view of Lie algebras and algebraic groups over fields.References
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Additional Information
- Skip Garibaldi
- Affiliation: Center for Communications Research, San Diego, California 92121
- MR Author ID: 622970
- ORCID: 0000-0001-8924-5933
- Email: skip@member.ams.org
- Received by editor(s): December 28, 2015
- Published electronically: June 29, 2016
- © Copyright 2016 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 53 (2016), 643-671
- MSC (2010): Primary 20G41; Secondary 17B25, 20G15
- DOI: https://doi.org/10.1090/bull/1540
- MathSciNet review: 3544263