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YUE Ming-shi. Cells of the affine Weyl group $\widetilde{\bm C}_{\bm 4}$ in quasi-split case[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 61-75.
Citation:
YUE Ming-shi. Cells of the affine Weyl group $\widetilde{\bm C}_{\bm 4}$ in quasi-split case[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 61-75.
YUE Ming-shi. Cells of the affine Weyl group $\widetilde{\bm C}_{\bm 4}$ in quasi-split case[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 61-75.
Citation:
YUE Ming-shi. Cells of the affine Weyl group $\widetilde{\bm C}_{\bm 4}$ in quasi-split case[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 61-75.
The affine Weyl group $(\widetilde{C}_4,\,S)$ can be
considered as the fixed point set of the affine Weyl group
$(\widetilde{A}_7,\,\widetilde{S})$ under a certain group
automorphism $\alpha$. Let
$\widetilde{l}:\widetilde{A}_7\longrightarrow \mathbf{\mathbf{N}}$
be the length function of\,$\widetilde{A}_7$. The restriction of
$\widetilde{l}$ on $\widetilde{C}_4$, denoted by $L$, is a weighted
function on $\widetilde{C}_4$. This paper classified the cells in
weighted Coxteger group\,$(\widetilde{C}_4,\,L)$.
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