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F4 (mathematics)

F₄ is the name of a Lie group (and also its Lie algebra). It is one of the exceptional simple Lie groups.

Roots of F₄

Simple roots

Weyl/Coxeter group

Its Weyl/Coxeter group is the symmetry group of the 24-cell.

Cartan matrix

See also Simple Lie group, Lie group, Weyl group, Dynkin diagram.

Referenced By

24-cell | Dynkin diagram | F4 polytope | List of Lie group topics | List of mathematical topics (D-F) | List of mathematical topics (F-Z) | Root system

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "F4 (mathematics)".

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