Abstract
In this paper we give a description of the structure of the based ring of the lowest two-sided cell for a weighted Coxeter group with complete graph. It is proved that this ring is generated, in a simple way, by some subrings which are isomorphic to the based rings of the lowest two-sided cells for affine Weyl groups of type A˜1 or A˜2.
Original language | English |
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Pages (from-to) | 38-58 |
Number of pages | 21 |
Journal | Journal of Algebra |
Volume | 489 |
DOIs | |
Publication status | Published - 1 Nov 2017 |
Keywords
- Based rings
- Coxeter groups with complete graph
- Lowest two-sided cells
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Xie, X. (2017). The lowest two-sided cell of a Coxeter group with complete graph. Journal of Algebra, 489, 38-58. https://doi.org/10.1016/j.jalgebra.2017.05.039