Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A note on nonunitary principal series representations


Author: Hrvoje Kraljević
Journal: Proc. Amer. Math. Soc. 70 (1978), 213-216
MSC: Primary 22E45
DOI: https://doi.org/10.1090/S0002-9939-1978-0473107-9
MathSciNet review: 0473107
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22E45

Retrieve articles in all journals with MSC: 22E45


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0473107-9
Keywords: Semisimple Lie groups, nonunitary principal series
Article copyright: © Copyright 1978 American Mathematical Society