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ViolaPlayer (talk | contribs) m ViolaPlayer moved page Class function to Class function (algebra): Distingishing from the set theoretic class function |
ViolaPlayer (talk | contribs) m Distinguished from set theoretic class functions (also the reason for the moving the page) |
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{{Distinguish2|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]] ''f'' on a [[group (mathematics)|group]] ''G'', such that ''f'' is constant on the [[conjugacy class]]es of ''G''. In other words, ''f'' is invariant under the [[conjugation map]] on ''G''. Such functions play a basic role in [[representation theory]].
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