On the cohomology of the Lubin-Tate curve of level 2 and the Lusztig theory over finite rings

Abstract

An etale cohomology group $W$ of some irreducible components, which is the smooth compactification of an affine curve $(X^{q^2}-X{)}^{q-1}=(Y^{q(q+1)}-Y^{q+1}{)}^{q-1},$ in the stable reduction the Lubin-Tate curve of level two is related to the Lusztig theory over finite rings. In this paper, we investigate a relationship between the cohomology group $W$ and the Lusztig theory.

14 pages

References in corpus (1)

• On Cuspidal Representations of General Linear Groups over Discrete Valuation Rings