ALGEBRAIC COMBINATORICS

no. 2
Classification of Coxeter groups with finitely many elements of a-value 2
Green, R. M.1; Xu, Tianyuan2
1 Department of Mathematics University of Colorado Boulder, Campus Box 395 Boulder, Colorado USA, 80309
2 Department of Mathematics and Statistics Queen’s University Kingston, Ontario Canada, K7L 3N6
Algebraic Combinatorics, Volume 3 (2020) no. 2, pp. 331-364.

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.

Received:
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Accepted:
Published online:
DOI: 10.5802/alco.95
Classification: 05E10, 20C08
Keywords: Coxeter groups, Hecke algebras, Lusztig’s $\mathbf{a}$-function, fully commutative elements, heaps, star operations
Green, R. M. 1; Xu, Tianyuan 2

1 Department of Mathematics University of Colorado Boulder, Campus Box 395 Boulder, Colorado USA, 80309
2 Department of Mathematics and Statistics Queen’s University Kingston, Ontario Canada, K7L 3N6
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Green, R. M.; Xu, Tianyuan. Classification of Coxeter groups with finitely many elements of a-value 2. Algebraic Combinatorics, Volume 3 (2020) no. 2, pp. 331-364. doi : 10.5802/alco.95. https://alco.centre-mersenne.org/articles/10.5802/alco.95/

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