arXiv Analytics

Sign in

arXiv:1211.3039 [math.RT]AbstractReferencesReviewsResources

Dual R-groups of the inner forms of SL(N)

Kuok Fai Chao, Wen-Wei Li

Published 2012-11-13, updated 2013-03-11Version 3

We study the Knapp-Stein R-groups of the inner forms of SL(N) over a non-archimedean local field of characteristic zero, by using restriction from the inner forms of GL(N). As conjectured by Arthur, these R-groups are then shown to be naturally isomorphic to their dual avatars defined in terms of L-parameters. The 2-cocycles attached to R-groups can be described as well. The proofs are based on the results of K. Hiraga and H. Saito. We also construct examples to illustrate some new phenomena which do not occur in the case of SL(N) or classical groups.

Comments: 47 pages
Categories: math.RT
Subjects: 22E50, 11F70
Related articles: Most relevant | Search more
arXiv:1201.3507 [math.RT] (Published 2012-01-17, updated 2012-03-18)
Whittaker functions associated to newforms for GL(n) over p-adic fields
arXiv:2303.08656 [math.RT] (Published 2023-03-15)
On the sharpness of the bound for the local converse theorem of p-adic GL_N, general N
arXiv:1606.08456 [math.RT] (Published 2016-06-27)
Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin - G. Pfeiffer)

Links

Toolbox