exceptional group

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exceptional group

[ek¦sep·shən·əl ¦grüp]
(mathematics)
One of five Lie groups which leave invariant certain forms constructed out of the Cayley numbers; they are Lie groups with maximum symmetry in the sense that, compared with other simple groups with the same rank (number of independent invariant operators), they have maximum dimension (number of generators).
References in periodicals archive ?
C) Compact case: g is the Lie algebra of a compact simple Lie group.
D) Riemannian symmetric pair: h is the Lie algebra of a maximal compact subgroup K of a non-compact simple Lie group G.
The authors let G be a compact, simply connected simple Lie group and apply the notion of a twisted tensor product in the manners of Brown and Hess.
Throughout this article, G is a connected compact simple Lie group, and we fix a simple system II of the root system [DELTA]([g.
Let G be a connected compact simple Lie group, T a maximal torus of G, [sigma] a Chevalley-Weyl involution and [PI] a simple system with respect to T.