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Class function
In mathematics, a class function in group theory is a function f on a group G, such that f is constant on the conjugacy classes of G. In other words, f is invariant under the conjugation map on G. Such functions play a basic role in representation theory.
In fact 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[G].
Last updated: 10-15-2005 11:50:58
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details