The boundedness of a weighted Coxeter group with non-3-edge-labeling graph
2019 ◽
Vol 18
(05)
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pp. 1950085
Keyword(s):
Let [Formula: see text] be a weighted Coxeter group such that the order [Formula: see text] of the product [Formula: see text] is not 3 for any [Formula: see text] and that [Formula: see text], where [Formula: see text] is the longest element in the parabolic subgroup [Formula: see text] of [Formula: see text] generated by [Formula: see text]. We prove that [Formula: see text] is bounded with [Formula: see text] an upper bound in the sense of Lusztig in Sec. 13.2 of [Hecke Algebras with Unequal Parameters, arXiv:math/0208154 v2 [math.RT] 10 Jun 2014], verifying a conjecture of Lusztig in our case (see Conjecture 13.4 in loc. cite).
2009 ◽
Vol 52
(3)
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pp. 653-677
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2018 ◽
Vol 13
(01)
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pp. 2050013
Keyword(s):
2011 ◽
Vol 04
(04)
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pp. 705-714
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Keyword(s):
2004 ◽
Vol Vol. 6 no. 2
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