Sentence:  We first decompose the <WSD>quasiregular</WSD> representations of a complex semi-simple Lie group into irreducible ones. A representation of the group "G" given by the formula / ::: "T"<sub>"g"</sub>&#x1D453;("h") = &#x1D453;("hg") / in the fundamental affine space "H" = "G"/"Z" is called <WSD>quasiregular</WSD>. 
Meaning of the word marked with <WSD> tags:  That is the result of a required adjustment of an (induced representation) that would, unadjusted, give rise to (only) a (quasi-invariant measure).