symmetric monoidal (∞,1)-category of spectra
∞-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
exceptional structures, exceptional isomorphisms
exceptional finite rotation groups:
and Kac-Moody groups:
exceptional Jordan superalgebra,
The magic triangle (due to Cvitanović 1981 and Deligne & Gross 2002) is a triangular array of Lie groups which extends the Freudenthal magic square.
The original references:
Predrag Cvitanović: Negative dimensions and symmetry, Nuclear Physics B 188 2 (1981) 373-396 [doi:10.1016/0550-3213(81)90262-5, pdf]
(in the context of U-duality of higher-dimensional supergravity)
Pierre Deligne, Benedict Gross, Table 1 (p. 7) of: On the exceptional series, and its descendants, Comptes Rendus Mathematique 335 11 (2002) 877-881 [doi:10.1016/S1631-073X(02)02590-6, pdf]
Review:
In relation to rational 2d conformal field theory:
Last revised on January 9, 2026 at 15:21:48. See the history of this page for a list of all contributions to it.