Semantic Scholar Open Access 2019 4 sitasi

The boundedness of a weighted Coxeter group with non-3-edge-labeling graph

Yan Li Jian-yi Shi

Abstrak

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).

Topik & Kata Kunci

Mathematics

Penulis (2)

Yan Li

Jian-yi Shi

Format Sitasi

APA MLA BibTeX

Li, Y., Shi, J. (2019). The boundedness of a weighted Coxeter group with non-3-edge-labeling graph. https://doi.org/10.1142/S0219498819500853

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Total Sitasi: 4×
Sumber Database: Semantic Scholar
DOI: 10.1142/S0219498819500853
Akses: Open Access ✓