To any Coxeter system we associate an exact category and study the projective objects therein. We discuss an analog of the Kazhdan-Lusztig conjecture and show how it follows from a "genericity" conjecture and how the latter follows from a "Hard Lefschetz" conjecture.
机构:
Univ Franche Comte, Labo Math Besancon, CNRS, UMR 6623, F-25030 Besancon, FranceUniv Franche Comte, Labo Math Besancon, CNRS, UMR 6623, F-25030 Besancon, France