Abstract
Arthur’s parameters are in many respects most interesting when they are as far as possible from being tempered; that is, when the tempered part of the parameter is as trivial as possible. The corresponding representations are the special unipotent representations. These were defined already in [7]. (The theorems of that paper are proved only in the complex case, but the basic definition works in general.) In this chapter we will consider the unipotent case in more detail, and prove that our new definition of Arthur’s representations agrees with the old one (Corollary 27.13).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Adams, J., Barbasch, D., Vogan, D.A. (1992). Special unipotent representations. In: The Langlands Classification and Irreducible Characters for Real Reductive Groups. Progress in Mathematics, vol 104. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0383-4_27
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0383-4_27
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6736-2
Online ISBN: 978-1-4612-0383-4
eBook Packages: Springer Book Archive