Group theory MOC

Class function

A class function from a group to some set is a function constant for each conjugacy class, #m/def/group i.e. for all

Examples

• Group character

Properties

• If is a ring, we consider functions as elements of the Group ring
  • Centre of the group ring
• Tensor powers of a faithful representation contain all irreps

#state/tidy | #lang/en | #SemBr