53.4 Functions for Class Functions

Besides the usual mapping functions (see chapter Mappings for the details.), the following polymorphic functions are overlaid in the operations records of class functions and (virtual) characters. They are listed in alphabetical order.

Centre( chi ):

centre of a class function

Constituents( chi ):

set of irreducible characters of a virtual character

Degree( chi ):

degree of a class function

Determinant( chi ):

determinant of a character

Display( chi ):

displays the class function with the table head

Induced( list, G ):

induced class functions corresp. to class functions in the list list from subgroup H to group G

IsFaithful( chi ):

property check (virtual characters only)

IsIrreducible( chi ):

property check (characters only)

Kernel( chi ):

kernel of a class function

Norm( chi ):

norm of class function

Omega( chi ):

central character

Print( chi ):

prints a class function

Restricted( list, H ):

restrictions of class functions in the list list to subgroup H

ScalarProduct( chi, psi ):

scalar product of two class functions

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