English

On the acceptable elements

Algebraic Geometry 2016-10-21 v2 Number Theory Representation Theory

Abstract

In this paper, we study the set B(G,{μ})B(G, \{\mu\}) of acceptable elements for any pp-adic group GG. We show that B(G,{μ})B(G, \{\mu\}) contains a unique maximal element and the maximal element is represented by an element in the admissible subset of the associated Iwahori-Weyl group.

Cite

@article{arxiv.1408.5836,
  title  = {On the acceptable elements},
  author = {Xuhua He and Sian Nie},
  journal= {arXiv preprint arXiv:1408.5836},
  year   = {2016}
}

Comments

Final version. 23 pages

R2 v1 2026-06-22T05:38:59.401Z