Article ID Journal Published Year Pages File Type
4584224 Journal of Algebra 2015 17 Pages PDF
Abstract

Lusztig proposed 15 conjectures for any weighted Coxeter groups. In this study, we explicitly describe Kazhdan–Lusztig cells, distinguished involutions and the function a for any weighted universal Coxeter group. We also verify these conjectures for this group.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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The weighted universal Coxeter group and some related conjectures of Lusztig
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