24 citations · 65 across the 6 of their papers we have counts for
3 papers · 1 filter
An evaluation approach to computing invariants rings of permutation groups
Nicolas Borie, Nicolas M. Thiéry
Using evaluation at appropriately chosen points, we propose a Gröbner basis free approach for calculating the secondary invariants of a finite permutation group. This approach allo…
The biHecke monoid of a finite Coxeter group and its representations
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
For any finite Coxeter group W, we introduce two new objects: its cutting poset and its biHecke monoid. The cutting poset, constructed using a generalization of the notion of block…
The biHecke monoid of a finite Coxeter group
Florent Hivert, Anne Schilling, Nicolas M. Thiéry
The usual combinatorial model for the 0-Hecke algebra of the symmetric group is to consider the algebra (or monoid) generated by the bubble sort operators. This construction genera…