Abstract.
On the space of homomorphisms from a Verma module to an indecomposable tilting module of the BGG-category \({\mathcal{O}}\) we define a natural filtration following Andersen [A] and establish a formula expressing the dimensions of the filtration steps in terms of coefficients of Kazhdan–Lusztig polynomials.
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For Joseph Bernstein
Received: May 2006, Revision: July 2007, Accepted: July 2007
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Soergel, W. Andersen Filtration and Hard Lefschetz. GAFA Geom. funct. anal. 17, 2066–2089 (2008). https://doi.org/10.1007/s00039-007-0640-9
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DOI: https://doi.org/10.1007/s00039-007-0640-9