侯自新, 康伟
Abstract
Let ■ be a real semisimple Lie algebra, ■ be a Cartan subalgebra of ■, Aut (■) be the automorphism group of ■ and Ad( ■ ) be the inner automorphism group of (?). Definition 1. The group ((?))={σ|(?); σ∈Aut((?))and σ(η) =η}is called the Cartan group of (?) with respect to (?).
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Let ■ be a real semisimple Lie algebra, ■ be a Cartan subalgebra of ■, Aut (■) be the automorphism group of ■ and Ad( ■ ) be the inner automorphism group of (?). Definition 1. The group ((?))={σ|(?); σ∈Aut((?))and σ(η) =η}is called the Cartan group of (?) with respect to (?).
Key concepts: Cartan subalgebra, Cartan decomposition, Real form, Mathematics, Cartan matrix, Pure mathematics, Group (periodic table), Kac–Moody algebra