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For questions about the algebraic concept of 'character': a function from a group into a field satisfying certain properties. Not to be confused with the more commonly known psychological term.
7
votes
How can classifying irreducible representations be a "wild" problem?
The following curcial fact is known about these virtual characters:
The character of the regular representation of $G$ is a sum of Deligne--Lusztig characters. … With this one has a chance to at least bunch the irreducible characters together but to do this we need more information about the Deligne--Lusztig characters. …