higher group character
A -character, , of a group is a certain function
which descends to a function of -conjugacy classes.
A -conjugacy class in is a minimal subset of which is closed under -fold conjugation in the following sense:
The quotient map which sends elements in to their -conjugacy class is called (at least for ) the weak Cayley table of .
- Evidently, on any -conjugacy class of we canonically obtain different commuting actions of .
For a brief review and a collection of many relevant references see
There is a succinct functorial reformulation of -conjugacy classes. This is described at higher group characters.
Revised on June 25, 2009 01:00:30
by Toby Bartels