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리 대수 이론에서, 불변 다항식(不變多項式, 영어: invariant polynomial)은 어떤 리 대수의 원소를 변수로 가지며, 그 딸림표현 작용에 대하여 불변인 다항식이다.
, In der Mathematik ist ein invariantes Polynom ein Polynom auf einem Vektorraum (siehe Symmetrische Algebra), welches unter der Wirkung einer Gruppe auf dem Vektorraum invariant ist, also für alle erfüllt.
, In mathematics, an invariant polynomial is … In mathematics, an invariant polynomial is a polynomial that is invariant under a group acting on a vector space . Therefore, is a -invariant polynomial if for all and . Cases of particular importance are for Γ a finite group (in the theory of Molien series, in particular), a compact group, a Lie group or algebraic group. For a basis-independent definition of 'polynomial' nothing is lost by referring to the symmetric powers of the given linear representation of Γ.s of the given linear representation of Γ.
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Invariant polynomial
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| rdfs:comment |
In der Mathematik ist ein invariantes Polynom ein Polynom auf einem Vektorraum (siehe Symmetrische Algebra), welches unter der Wirkung einer Gruppe auf dem Vektorraum invariant ist, also für alle erfüllt.
, In mathematics, an invariant polynomial is … In mathematics, an invariant polynomial is a polynomial that is invariant under a group acting on a vector space . Therefore, is a -invariant polynomial if for all and . Cases of particular importance are for Γ a finite group (in the theory of Molien series, in particular), a compact group, a Lie group or algebraic group. For a basis-independent definition of 'polynomial' nothing is lost by referring to the symmetric powers of the given linear representation of Γ.s of the given linear representation of Γ.
, 리 대수 이론에서, 불변 다항식(不變多項式, 영어: invariant polynomial)은 어떤 리 대수의 원소를 변수로 가지며, 그 딸림표현 작용에 대하여 불변인 다항식이다.
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| rdfs:label |
Invariantes Polynom
, 불변 다항식
, Invariant polynomial
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