Geodesic
The Boundness and Lowest Two-Sided Cell of Weighted Coxeter Groups of Rank 3
Jianwei Gao1
1Beijing International Center for Mathematical Research, Peking University, P. R. China
Journal of Lie Theory, Tome 32 (2022) no. 2, pp. 499-518

Voir la notice de l'article provenant de la source Heldermann Verlag

We consider weighted Coxeter groups of rank 3 and its Hecke algebras in this paper. In this case, we show the boundness (in the sense of G. Lusztig) and the existence of a lowest two-sided cell c0. Then we describe c0 and the left cells in it. At last, we show that our conjectures P0--P15 hold for c0.
Classification : 20C08, 20F55
Mots-clés : Weighted Coxeter group, Hecke algebra, two-sided cell, left cell, A-function

Jianwei Gao  1

1 Beijing International Center for Mathematical Research, Peking University, P. R. China 
Jianwei Gao. The Boundness and Lowest Two-Sided Cell of Weighted Coxeter Groups of Rank 3. Journal of Lie Theory, Tome 32 (2022) no. 2, pp. 499-518. http://geodesic.mathdoc.fr/item/JOLT_2022_32_2_a8/
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