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- W570810557 abstract "Publisher SummaryThis chapter discusses the Cartan's criterion. The nondegeneracy of the Killing form implies semisimplicity of g. A semisimple Lie algebra is the direct sum of all the minimal ideals. These ideals are simple Lie algebras and are mutually orthogonal in regard to the Killing form. Ideals of semisimple Lie algebras are semisimple. If g1 is an ideal of g, then there exists a uniquely determined ideal such that g = g1 + g2. The chapter presents a study of Cartan's criterion for semisimple Lie algebras." @default.
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- W570810557 date "1975-01-01" @default.
- W570810557 modified "2023-09-23" @default.
- W570810557 title "CARTAN'S CRITERION" @default.
- W570810557 doi "https://doi.org/10.1016/b978-0-08-017952-0.50007-8" @default.
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