English

Classification of unipotent representations of simple p-adic groups,II

Representation Theory 2007-05-23 v1

Abstract

Let G(K) be the group of K-rational points of a connected adjoint simple algebraic group defined over a non-archimedean local field K. In this paper we classify the unipotent representations of G(K) in terms of the geometry of the Langlands dual group. (This was known earlier in the special case where G(K) is an inner form of a split group.) We also determine which representations are tempered or square integrable.

Keywords

Cite

@article{arxiv.math/0111248,
  title  = {Classification of unipotent representations of simple p-adic groups,II},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:math/0111248},
  year   = {2007}
}

Comments

52 pages

R2 v1 2026-07-22T16:41:44.824Z