Meinolf Geck, Sungsoon Kim and Götz Pfeiffer,
# Minimal length elements in twisted conjugacy classes of finite
Coxeter groups.

*J. Algebra* **229** (2000), 570-600.

## Abstract.

Let $W$ be a finite Coxeter group and
$F$ be an automorphism of $W$ which leaves the
set of generators of $W$ invariant. We establish certain
properties of elements of minimal length in the
$F$-conjugacy classes of $W$ which allow us to
define character tables for the corresponding twisted Iwahori-Hecke
algebras. These results are extensions of results obtained by Geck and
Pfeiffer in the case where $F$ is trivial.
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