Classification of Coxeter groups with finitely many elements of a-value 2
R. M. Green, Tianyuan Xu
Abstract
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R. M. Green, Tianyuan Xu
Abstract
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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.
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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