%0 Journal Article
%T Non-cuspidality outside the middle degree of l-adic cohomology of the Lubin-Tate tower
%A Yoichi Mieda
%J Mathematics
%D 2008
%I arXiv
%X In this article, we consider the representations of the general linear group over a non-archimedean local field obtained from the vanishing cycle cohomology of the Lubin-Tate tower. We give an easy and direct proof of the fact that no supercuspidal representation appears as a subquotient of such representations unless they are obtained from the cohomology of the middle degree. Our proof is purely local and does not require Shimura varieties.
%U http://arxiv.org/abs/0806.0697v1