Representations of Noncompact Lie Groups

The following sections are included:

• Representations and (, K)–modules

• Irreducible (, K)–modules of SL(2, ℝ)

• Global characters

• τ-spherical eigenfunctions

• The dimension of the space of τ-spherical eigenfunctions

• Global bases of the space of τ-spherical eigenfunctions

• Character formulas of spaces of eigenfunctions of Z()