Class function: Difference between revisions

Revision as of 01:53, 17 June 2020

Revision as of 17:51, 7 September 2020

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==Characters==

The [[character (group theory)|character]] of a [[linear representation]] of ''G'' over a [[field (mathematics)|field]] ''K'' is always a class function with values in ''K''. The class functions form the [[centerCenter (algebraring theory)|center]] of the [[group ring]] ''K''[''G'']. Here a class function ''f'' is identified with the element <math> \sum_{g \in G} f(g) g</math>.

== Inner products ==