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Lower boundary
hyperplanes of the canonical left cells in the affine Weyl
group Wa(Ãn−1)
Jian-yi Shi |
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Vol. 226 (2006), No. 2, 389–397
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Abstract |
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Let Γ be any canonical left cell of the affine Weyl group Wa of type Ãn−1 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
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Mathematical Subject Classification 2000
Primary: 20F55
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Milestones
Received: 21 November 2004
Accepted: 2 March 2005
Published: 1 August 2006
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Authors |
| Jian-yi Shi | |
| Department of Mathematics East China Normal University Shanghai, 200062 China |
Center for Combinatorics Nankai University Tianjin, 300071 China |
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