The boundness of weighted Coxeter groups of rank 3
Jianwei Gao

TL;DR
This paper proves that weighted Coxeter groups of rank 3 are bounded in the sense defined by Lusztig, establishing a key property for this class of algebraic structures.
Contribution
It demonstrates that all weighted Coxeter groups of rank 3 satisfy Lusztig's boundedness condition, a previously unconfirmed property for this class.
Findings
Weighted Coxeter groups of rank 3 are bounded.
The proof confirms Lusztig's boundedness for these groups.
This result advances understanding of Coxeter group properties.
Abstract
We prove that a weighted Coxeter group (W,S,L) is bounded in the sense of G.Lusztig if the rank of W is 3.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Random Matrices and Applications
