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STRUCTURE OF THE CARTAN GROUPS OF REAL SEMISIMPLE LIE ALGEBRAS

STRUCTURE OF THE CARTAN GROUPS OF REAL SEMISIMPLE LIE ALGEBRAS
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摘要 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 (?). <正> 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 (?).
作者 侯自新 康伟
出处 《Chinese Science Bulletin》 SCIE EI CAS 1992年第2期170-171,共2页
基金 Project supported by the National Natural Science Foundation of China.
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