- #1

CPL.Luke

- 441

- 1

how does one go about constructing the character table for a group? while only knowing the group, and the classes. I was thinking of starting to construct representations and diagonalizing them but that seems like it would take an exorbitant amount of time.

is there a method for constructing the character table without knowing the irreducible representations?sorry if this should be moved, this is related to a homework problem, but as its talking more about methods I thought it could go here.Also on asimilar note if the group contains an invariant subgroup how does this affect the character table

Edit: I realized this is a physicist thing, but the character is the trace of a matrix representation, and the class is what mathematicians know as a conjugacy class

is there a method for constructing the character table without knowing the irreducible representations?sorry if this should be moved, this is related to a homework problem, but as its talking more about methods I thought it could go here.Also on asimilar note if the group contains an invariant subgroup how does this affect the character table

Edit: I realized this is a physicist thing, but the character is the trace of a matrix representation, and the class is what mathematicians know as a conjugacy class

Last edited: