Real form (Lie theory)

（重定向自Compact real form）

In mathematics, the notion of a real form relates objects defined over the field of real and complex numbers. A real Lie algebra g₀ is called a real form of a complex Lie algebra g if g is the complexification of g₀:

The notion of a real form can also be defined for complex Lie groups. Real forms of complex semisimple Lie groups and Lie algebras have been completely classified by Élie Cartan.

单词	Compact real form
释义	Compact real form 英语百科 Real form (Lie theory) （重定向自Compact real form） In mathematics, the notion of a real form relates objects defined over the field of real and complex numbers. A real Lie algebra g₀ is called a real form of a complex Lie algebra g if g is the complexification of g₀: The notion of a real form can also be defined for complex Lie groups. Real forms of complex semisimple Lie groups and Lie algebras have been completely classified by Élie Cartan.
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