Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

It was proved by Jacques Dixmier (Sur les repr├ęsentations unitaires des groupes de Lie alg├ębriques, Annales de l'institut Fourier, 7 (1957), p. 315-328, doi: 10.5802/aif.73, MR 20 #5820 , Zbl 0080.32101 )

that algebraic groups over the reals, are type I. Is a similar result known for algebraic groups over non-archimedean local fields (possibly of characteristic 0)? I am only aware of the result by Berstein


that reductive algebraic groups over non-archimedean local fields, are type I.

share|improve this question
Your first link doesn't work for me:( –  plusepsilon.de Apr 17 '13 at 12:08
@Marc: Yes there is something weird with the link, that I couldn't fix. I put the reference instead. –  Alain Valette Apr 18 '13 at 11:04
Or for those not able to speak french: ams.org/mathscinet/search/… –  plusepsilon.de Apr 18 '13 at 11:12
add comment

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.