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Statements

Subject Item
dbr:Invariant_polynomial
rdf:type
yago:Function113783816 yago:MathematicalRelation113783581 yago:WikicatPolynomials yago:Polynomial105861855 yago:Abstraction100002137 yago:Relation100031921
rdfs:label
Invariant polynomial 불변 다항식 Invariantes Polynom
rdfs:comment
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 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. 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.
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dbc:Polynomials dbc:Commutative_algebra dbc:Invariant_theory
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dbp:title
Invariant polynomial
dbo:abstract
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 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. 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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wikipedia-en:Invariant_polynomial
Subject Item
dbr:List_of_polynomial_topics
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dbr:Melvin_Hochster
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Subject Item
dbr:Chern–Gauss–Bonnet_theorem
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dbr:Invariant_polynomial
Subject Item
dbr:Pfaffian
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dbr:Invariant_polynomial
Subject Item
dbr:Du_Val_singularity
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dbr:Invariant_polynomial
Subject Item
dbr:Bollobás–Riordan_polynomial
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dbr:Invariant_polynomial