34 citations
- Lyon 1 UniversitéFR15 papers
- Bouygues (France)FR7 papers
- International Center for Transitional JusticeUS7 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Nankai UniversityCN3 papers
- Carleton UniversityCA1 paper
- Computer Algorithms for MedicineAT1 paper
- Délégation Paris 7FR1 paper
- Hebrew University of JerusalemIL1 paper
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR1 paper
- Institute for Global DialogueZA1 paper
- Institut FourierFR1 paper
5 papers · 2 filters
From triangulated categories to cluster algebras
Philippe Caldero, Bernhard Keller
The cluster category is a triangulated category introduced for its combinatorial similarities with cluster algebras. We prove that a cluster algebra A of finite type can be realize…
Positivity results for the Hecke algebras of non-crystallographic finite Coxeter groups
Fokko Du Cloux
This paper is a report on a computer check of some positivity properties of the Hecke algebra in type H4, including the non-negativity of the coefficients of the structure constant…
Relative Kazhdan--Lusztig cells
Meinolf Geck
In this paper, we study the Kazhdan--Lusztig cells of a Coxeter group in a ``relative'' setting, with respect to a parabolic subgroup . This relies on a factor…
Kazhdan--Lusztig cells and the Murphy basis
Meinolf Geck
Let be the Iwahori--Hecke algebra associated with , the symmetric group on symbols. This algebra has two important bases: the Kazhdan--Lusztig basis and the Murphy bas…
Geometric lifting of the canonical basis and semitoric degenerations of Richardson varieties
Sophie Morier-Genoud
In the sl\_n case, A. Berenstein and A. Zelevinsky studied the Schützenberger involution in terms of Lusztig's canonical basis, [3]. We generalize their construction and formulas f…