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In differential geometry, a Lie-algebra-valued form is a differential form with values in a Lie algebra. Such forms have important applications in the theory of connections on a principal bundle as well as in the theory of Cartan connections.
, 기하학에서 리 대수 값 미분 형식(Lie代數값微分形式, 영어: Lie-algebra-valued differential form)은 리 대수인 자명한 벡터 다발의 값의 미분 형식이다. 이 경우, 일반 벡터 값 미분 형식과 달리, 두 미분 형식에 대한, 쐐기곱과 리 괄호를 합성한 연산을 취할 수 있다.
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rdfs:comment |
기하학에서 리 대수 값 미분 형식(Lie代數값微分形式, 영어: Lie-algebra-valued differential form)은 리 대수인 자명한 벡터 다발의 값의 미분 형식이다. 이 경우, 일반 벡터 값 미분 형식과 달리, 두 미분 형식에 대한, 쐐기곱과 리 괄호를 합성한 연산을 취할 수 있다.
, In differential geometry, a Lie-algebra-valued form is a differential form with values in a Lie algebra. Such forms have important applications in the theory of connections on a principal bundle as well as in the theory of Cartan connections.
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rdfs:label |
Lie algebra-valued differential form
, 리 대수 값 미분 형식
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