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Spectrum Generating Operators and Intertwining Operators for Representations Induced from a Maximal Parabolic Subgroup

Abstract 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.