 Harish-Chandra character

In mathematics, the Harish-Chandra character, named after Harish-Chandra, of a representation of a semisimple Lie group "G" on a Hilbert space "H" is a distribution on the group "G" that is analogous to the character of a finite-dimensional representation of a compact group.Suppose that π is an irreducible unitary representation of "G" on a Hilbert space "H".