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.

Revised on June 3, 2017 07:54:57 by Peter Heinig (2003:58:aa10:db00:a04:639a:b7ef:8b78)