Tensor Products of Principal Series Representations: Reduction of Tensor Products of Principal Series Representations of Complex Semisimple Lie Groups (Lecture Notes in Mathematics, 358)

[by] Floyd L. Williams. Originally Presented As The Author's Thesis, Washington University, St. Louis. Bibliography: P. 130-132. Introduction....Pages 1-6 Preliminaries on induced representations....Pages 7-22 Representations induced by characters of a subgroup of the Cartan subgroup....Pages 23-73 The tensor product of principal series representations of a complex semi-simple Lie group....Pages 74-120 The aim of these lectures is to study the tensor product of non-degenerate principal series representations of a complex semi-simple Lie group. This will be done from the point of view of the theory of induced representations