Class function: Difference between revisions

Revision as of 20:15, 4 August 2015

Revision as of 17:13, 10 May 2018

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{{Distinguish2distinguish|text=a [[Class (set theory)#Classes in formal set theories|class function]] in set theory}}

In [[mathematics]], especially in the fields of [[group theory]] and [[group representation|representation theory of groups]], a '''class function''' is a [[function (mathematics)|function]] on a [[group (mathematics)|group]] ''G'' that is constant on the [[conjugacy class]]es of ''G''. In other words, it is invariant under the [[conjugation map]] on ''G''. Such functions play a basic role in [[representation theory]].