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MI Qian-Qian, SHI Jian-Yi. Cells of the weighted Coxeter group (B3, ?)[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 27-41. doi: 10.3969/j.issn.1000-5641.2015.01.004
Citation: MI Qian-Qian, SHI Jian-Yi. Cells of the weighted Coxeter group (B3, ?)[J]. Journal of East China Normal University (Natural Sciences), 2015, (1): 27-41. doi: 10.3969/j.issn.1000-5641.2015.01.004

Cells of the weighted Coxeter group (B3, ?)

doi: 10.3969/j.issn.1000-5641.2015.01.004
  • Received Date: 2013-12-01
  • Publish Date: 2015-01-25
  • The affine Coxeter group ( e B3, S) can be realized as the fixed point set of the affine Coxeter group ( e D4, eS) under a certain group automorphism with ( eS) = eS. Let e? be the length function of e D4. We gave an explicit description for all the left cells of the weighted Coxeter group ( e B3, e?). Alsowe showed that in the the weighted Coxeter groups ( e D4, e?) and ( e B3, e?), each left (respectively, two-sided) cell was left-connected (respectively, two-sided-connected).
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