Cells of the weighted Coxeter group (C3,l6)

YUE Ming-Shi

doi:10.3969/j.issn.1000-5641.2016.01.004

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Mar. 2016

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YUE Ming-Shi. Cells of the weighted Coxeter group (C3,l6)[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 27-38. doi: 10.3969/j.issn.1000-5641.2016.01.004

Citation:

YUE Ming-Shi. Cells of the weighted Coxeter group (C3,l6)[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 27-38. doi: 10.3969/j.issn.1000-5641.2016.01.004

YUE Ming-Shi. Cells of the weighted Coxeter group (C3,l6)[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 27-38. doi: 10.3969/j.issn.1000-5641.2016.01.004

Citation:

YUE Ming-Shi. Cells of the weighted Coxeter group (C3,l6)[J]. Journal of East China Normal University (Natural Sciences), 2016, (1): 27-38. doi: 10.3969/j.issn.1000-5641.2016.01.004

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Cells of the weighted Coxeter group (C3,l6)

doi: 10.3969/j.issn.1000-5641.2016.01.004

YUE Ming-Shi^,

Received Date: 2014-12-08
Publish Date: 2016-01-25

Abstract

Abstract

Let \alpha be a group automorphism of the affine Weyl group (\widetilde{A}_{2n},\widetilde{S}) with \alpha(\widetilde{S})=\widetilde{S}. Affine Weyl group(\widetilde{C}_n,S) can be seen as the fixed point set of the affine Weyl group (\widetilde{A}_{2n},\widetilde{S}) under its group automorphism \alpha. The restriction to \widetilde{C}_n of the length function \widetilde{l}_{2n} on \widetilde{A}_{2n} can be seen as a weight function on \widetilde{C}_n. In this paper, we give the description for all the left and two-sided cells of the specific weighted Coxeter group (\widetilde{C}_3,\widetilde{l}_6) and prove that each left cell in (\widetilde{C}_3,\widetilde{l}_6) is left-connected.
- affine Weyl group weighted Coxeter group quasi-split case partitions of n left cells,

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References(1)

References

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