Sign Types Corresponding to an Affine Weyl Group

Abstract

The sign types corresponding to an affine Weyl group Wa were first studied in [3]. In the present paper, I generalize all the results of [3] on sign types to the case when Wa is an indecomposable affine Weyl group of an arbitrary type. As a result, I verify Carter's conjecture on the cardinality of sign types of type Ф, where Ф is the root system determined by Wa.