We present a new method of calculating intertwining operators between principal series representations of semisimple Lie groups G. Working in the compact realization we find the eigenvalues of the operators on the K-types, and give several examples. Among the advantages of our method is its applicability to bundle-valued cases. © 1996 Academic Press, Inc.
Publication Source (Journal or Book title)
Journal of Functional Analysis
Branson, T., Ólafsson, G., & Ørsted, B. (1996). Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup. Journal of Functional Analysis, 135 (1), 163-205. https://doi.org/10.1006/jfan.1996.0008