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

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

2005-06-22

arxiv.org/abs/math/0506448v2

Mathematics

Representation Theory

septembre 2005; 13 pages; cet article s'accompagne d'un logiciel

Scientific paper

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.

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