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Class function (algebra)
In mathematics, especially in the fields of group theory and representation theory of groups, a class function is a function on a group ''G'' that is constant on the conjugacy classes of ''G''. In other words, it is invariant under the conjugation map on ''G''. Such functions play a basic role in representation theory.
==Characters==
The character of a linear representation of ''G'' over a field ''K'' is always a class function with values in ''K''. The class functions form the center of the group ring ''K''(). Here a class function ''f'' is identified with the element .
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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