2020Algebraic CombinatoricsOpen access

Classification of Coxeter groups with finitely many elements of a-value 2

R. M. Green, Tianyuan Xu

Open full text 3 citations

Abstract

We consider Lusztig’s a -function on Coxeter groups (in the equal parameter case) and classify all Coxeter groups with finitely many elements of a -value 2 in terms of Coxeter diagrams.

Open-access reader

About this research paper

What this paper is about

We consider Lusztig’s a -function on Coxeter groups (in the equal parameter case) and classify all Coxeter groups with finitely many elements of a -value 2 in terms of Coxeter diagrams.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We consider Lusztig’s a -function on Coxeter groups (in the equal parameter case) and classify all Coxeter groups with finitely many elements of a -value 2 in terms of Coxeter diagrams.

Key concepts: Coxeter group, Point group, Coxeter complex, Artin group, Longest element of a Coxeter group, Mathematics, Coxeter element, Combinatorics

Related papers

Back to paper searchBrowse research topicsOriginal source
Classification of Coxeter groups with finitely many elements of a-value 2 — Research Paper | ScholarLens