On supercuspidal representations of $S{L}_n(F)$ associated with tamely ramified extensions

Abstract

We will give an explicit construction of irreducible suparcuspidal representations of the special linear group over a non-archimedean local field and will speculate its Langlands parameter by means of verifying the Hiraga-Ichino-Ikeda formula of the formal degree of the supercuspidal representations.

25 pages, 1 figure