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Cartan subgroup
In mathematics, a Cartan subgroup of a Lie group or algebraic group ''G'' is one of the subgroups whose Lie algebra
is a Cartan subalgebra. The dimension of a Cartan subgroup, and therefore of a Cartan subalgebra, is the rank of ''G''.
==Conventions==
The identity component of a subgroup has the same Lie algebra. There is no ''standard'' convention for which one of the subgroups with this property is called ''the'' Cartan subgroup, especially in the case of disconnected groups.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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