24 citations · 65 across the 6 of their papers we have counts for
8 papers
Interoperability in the OpenDreamKit Project: The Math-in-the-Middle Approach
Paul-Olivier Dehaye, Michael Kohlhase, Alexander Konovalov +3
OpenDreamKit --- "Open Digital Research Environment Toolkit for the Advancement of Mathematics" --- is an H2020 EU Research Infrastructure project that aims at supporting, over the…
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…
On the representation theory of finite J-trivial monoids
Tom Denton, Florent Hivert, Anne Schilling +1
In 1979, Norton showed that the representation theory of the 0-Hecke algebra admits a rich combinatorial description. Her constructions rely heavily on some triangularity property…
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…
Exploration of finite dimensional Kac algebras and lattices of intermediate subfactors of irreducible inclusions
Marie-Claude David, Nicolas M. Thiéry
We study the four infinite families KA(n), KB(n), KD(n), KQ(n) of finite dimensional Hopf (in fact Kac) algebras constructed respectively by A. Masuoka and L. Vainerman: isomorphis…