Kazhdan-Lusztig combinatorics in the moment graph setting

Mathematics – Representation Theory

Scientific paper

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Scientific paper

Motivated by the multiplicity conjecture on the stalks of the canonical sheaf
on a Bruhat graph, we lift some equalities concerning (parabolic)
Kazhdan-Lusztig polynomials to this moment graph setting. Our proofs hold also
in positive characteristic, under some technical assumptions.

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