A note on nonunitary principal series representations

Kraljević, Hrvoje

doi:10.1090/S0002-9939-1978-0473107-9

A note on nonunitary principal series representations
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Proc. Amer. Math. Soc. 70 (1978), 213-216 Request permission

Abstract:

It is proven in a rather elementary way that any nonunitary principal series representation of a semisimple Lie group G is of finite length, having as a trivial consequence that the set of infinitesimal equivalence classes of quasisimple irreducible representations of G with a given infinitesimal character is finite.

References

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