Positivity results for the Hecke algebras of non-crystallographic finite Coxeter groups

Fokko Du Cloux (1)

1 ICJ - Institut Camille Jordan

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 constants in the Kazhdan-Lusztig basis. This answers a long-standing question of Lusztig's. The same algorithm, carried out by hand, also allows us to deal with the case of dihedral Coxeter groups.

Mots clés: hecke algebras; computational mathematics

Domaines: Théorie des représentations [math.RT]

Fokko Du Cloux. Positivity results for the Hecke algebras of non-crystallographic finite Coxeter groups. 2005. ⟨hal-00005542v2⟩