Kazhdan-Lusztig-Polynome und unzerlegbare Bimoduln "uber Polynomringen

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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 conjecture to be these coefficients.
Version accepted to be published, with corrected proofs and enhanced results

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