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- G2_(mathematics) abstract "In mathematics, G2 is the name of three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras , as well as some algebraic groups. They are the smallest of the five exceptional simple Lie groups. G2 has rank 2 and dimension 14. It has two fundamental representations, with dimension 7 and 14.The compact form of G2 can be described as the automorphism group of the octonion algebra or, equivalently, as the subgroup of SO(7) that preserves any chosen particular vector in its 8-dimensional real spinor representation. Robert Bryant introduced the definition of G2 as the subgroup of that preserves the non-degenerate 3-formwith denoting In older books and papers, G2 is sometimes denoted by E2.".
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- G2_(mathematics) wikiPageExternalLink home.html.
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- G2_(mathematics) wikiPageRevisionID "603020661".
- G2_(mathematics) hasPhotoCollection G2_(mathematics).
- G2_(mathematics) subject Category:Algebraic_groups.
- G2_(mathematics) subject Category:Lie_groups.
- G2_(mathematics) subject Category:Octonions.
- G2_(mathematics) comment "In mathematics, G2 is the name of three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras , as well as some algebraic groups. They are the smallest of the five exceptional simple Lie groups. G2 has rank 2 and dimension 14.".
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- G2_(mathematics) label "G2 (математика)".
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