Jonas Hetz, Universität Stuttgart: On the values of unipotent characters of finite groups of Lie type
Referent: Jonas Hetz, On the values of unipotent characters of finite groups of Lie type
Zeit: Donnerstag, 02.05.2019, 17:00 h
Ort:Raum 48-436
Let p be a prime and G a connected reductive group over an algebraic
closure of Fp, defined over a finite subfield Fq (q is a power of p), and let
G = G(q) be the corresponding finite group of Lie type. We will consider the
problem of computing the values of (ordinary) unipotent characters at unipotent
elements of G, by making use of Lusztig’s theory of character sheaves. In
this setting, one has to find the transformation between several bases for the
unipotent class functions on G. In principle, this has been achieved by Lusztig
and Shoji, at least if the center of G is connected, but one of the remaining
issues is the determination of certain scalars in the underlying process. As an
example, we will look at the case where G is of type E6 and p = 3.