4 papers
Modulare Koszul-Dualit"at
Wolfgang Soergel
We prove an analogon of Koszul duality for category O in positive characteristic. However, there are no Koszul rings, and we do not prove an analog of the Kazhdan-Lusztig conjectur…
Herleitung von Skalarprodukten aus Symmetrieprinzipien
Wolfgang Soergel
This is an attempt to model ambient space as a three-dimensional real affine space with a distinguished group of automorphisms containing the translations and acting freely and tra…
Andersen-Filtrierung und harter Lefschetz
Wolfgang Soergel
We consider the principal block of category O and its graded version. On the space of homomorphisms from a Verma module to an indecomposable tilting module we may define natural fi…
Kazhdan-Lusztig-Polynome und unzerlegbare Bimoduln "uber Polynomringen
Wolfgang Soergel
We explain a strategy for a proof of the positivity of all coefficients of Kazhdan-Lusztig-polynomials for arbitrary Coxeter groups by constructing spaces whose dimensions we conje…