Andersen Filtration and Hard Lefschetz

Mathematics – Representation Theory

Scientific paper

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English version of math.RT/0604589, v3 revised translation

Scientific paper

10.1007/s00039-007-0640-9

On the space of homomorphisms from a Verma module to an indecomposable
tilting module of the BGG-category O we define a natural filtration following
Andersen and establish a formula expressing the dimensions of the filtration
steps in terms of coefficients of Kazhdan-Lusztig polynomials.

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