exceptional structures, exceptional isomorphisms
exceptional finite rotation groups:
and Kac-Moody groups:
exceptional Jordan superalgebra,
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
Related concepts
∞-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
One of the exceptional Lie groups.
(Jordan algebra automorphism group of octonionic Albert algebra is F₄)
The group of automorphism with respect to the Jordan algebra structure on the octonionic Albert algebra is the exceptional Lie group :
(e.g. Yokota 09, section 2.2)
G₂, F₄,
José Figueroa-O'Farrill, A geometric construction of the exceptional Lie algebras and (arXiv:0706.2829)
Ichiro Yokota, Exceptional Lie groups (arXiv:0902.0431)
Cohomological properties:
That the group controls the massless degrees of freedom of 11-dimensional supergravity was observed and explored in
T. Pengpan, Pierre Ramond, M(ysterious) Patterns in SO(9), Phys. Rept. 315:137-152,1999 (arXiv:hep-th/9808190)
Pierre Ramond, Boson-Fermion Confusion: The String Path To Supersymmetry, Nucl.Phys.Proc.Suppl. 101 (2001) 45-53 (arXiv:hep-th/0102012)
Pierre Ramond, Algebraic Dreams (arXiv:hep-th/0112261)
Hisham Sati, -bundles in M-theory, Commun. Num. Theor. Phys 3:495-530, 2009 (arXiv:0807.4899)
Last revised on August 8, 2024 at 20:08:40. See the history of this page for a list of all contributions to it.