# Representations of semisimple Lie groups

@inproceedings{Knapp2000RepresentationsOS,
title={Representations of semisimple Lie groups},
author={Anthony W. Knapp and Peter E. Trapa},
year={2000}
}
• Published 25 January 2000
• Mathematics
We keep to the notation of the preceding note.1 Since mo is reductive, there will be no essential loss of generality from the point of view of irreducible unitary representations of Mo if we assume that mo is semisimple. Then ma n f0 is a maximal compact subalgebra of MO, and bfo is a Cartan subalgebra of mo. Moreover, mo = mo n to + mo n po. Our problem of constructing irreducible unitary representations of Mo is therefore the same as that for G, under the additional assumption that a maximal…
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