THE INTERMEDIATE ORDERS OF A COXETER GROUP

被引：1

作者：

Carnevale, Angela ^{[1
]}

Dyer, Matthew ^{[2
]}

Sentinelli, Paolo ^{[3
]}

机构：

[1] Univ Galway, Sch Math & Stat Sci, Galway, Ireland

[2] Univ Notre Dame, Dept Math, Notre Dame, IN USA

[3] Politecn Milan, Dipartimento Matemat, Milan, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年

关键词：

SYMMETRIC GROUP; RICCI CURVATURE; GRAPHS;

D O I：

10.1090/proc/16199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a class of partial orders on a Coxeter group associated with sets of reflections. In special cases, these lie between the left weak order and the Bruhat order. We prove that these posets are graded by the length function and that the projections on the right parabolic quotients are always order preserving. We also introduce the notion of k-Bruhat graph, k-absolute length and k-absolute order, proposing some related conjectures and problems.

引用

页码：1433 / 1443

页数：11

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