exceptional structures, exceptional isomorphisms
exceptional finite rotation groups:
and Kac-Moody groups:
exceptional Jordan superalgebra,
∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
The exceptional Lie algebras are the exceptional structures among the simple Lie algebras:
The classification of the simple Lie algebras consists of a few infinite series together with a finite number of examples, called exceptional Lie algebras. The simple Lie groups that these correspond to are the exceptional Lie groups, see there for more.
John Baez, Exceptional Lie algebras, chapter 4 in The Octonions, Bull. Amer. Math. Soc. 39 (2002), 145-205. (web)
J. R. Faulkner, J. C. Ferrar, Exceptional Lie algebras and related algebraic and geometric structures, (pdf)
José Figueroa-O'Farrill, A geometric construction of the exceptional Lie algebras F4 and E8 (arXiv:0706.2829)
Andrei Moroianu, Uwe Semmelmann, Invariant four-forms and symmetric pairs (arXiv:1202.3407)
Last revised on May 15, 2019 at 09:22:19. See the history of this page for a list of all contributions to it.