Vol. 226, No. 2, 2006

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Jian-yi Shi

Abstract

Let Γ be any canonical left cell of the afine Weyl group Wa of type Ãn1 for n > 1. We describe the lower boundary hyperplanes for Γ, answering two questions of Humphreys.

Keywords

affine Weyl groups, canonical left cells, hyperplanes, alcoves, sign types

Mathematical Subject Classification

Primary: 20F55

Authors
Jian-yi Shi
Department of Mathematics
East China Normal University
Shanghai, 200062
China
Center for Combinatorics
Nankai University
Tianjin, 300071
China