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Journal of the London Mathematical Society 1987 s2-35(1):56-74; doi:10.1112/jlms/s2-35.1.56
© 1987 by London Mathematical Society
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© Oxford University Press

Sign Types Corresponding to an Affine Weyl Group

Jian-Yi Shi

Department of Mathematics, East China Normal University Shanghai, China

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 FE, where FE is the root system determined by Wa.


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