Class function: Difference between revisions

Revision as of 20:57, 11 April 2015

Revision as of 04:27, 12 April 2015

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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''it is invariant under the [[conjugation map]] on  ''G''. Such functions play a basic role in [[representation theory]].

==Characters==

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==See also==

*[[Brauer's theorem on induced characters]]

== References ==

* [[Jean-Pierre Serre]], ''Linear representations of finite groups'', Graduate Texts in Mathematics '''42''', Springer-Verlag, Berlin, 1977.