nLab
class function

This entry is about the term of “class function” as it is used in algebraic contexts. (Such class functions are usually set-maps.) For the notion of the same name in set theory see at class function (set theory).

Contents

Definition

A function on a group is a class function if it is invariant under conjugation action, i.e. it is equivalent to a function on the set of conjugacy classes.

Examples

Every group character is in particular a class function.

Last revised on June 3, 2017 at 07:54:57. See the history of this page for a list of all contributions to it.