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About: Invariant polynomial     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPolynomials, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Function113783816yago:MathematicalRelation113783581yago:Polynomial105861855yago:Relation100031921yago:WikicatPolynomials New Facet based on Instances of this Class

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.