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A non-perverse Soergel bimodule in type A

joint with Geordie WilliamsonComptes Rendus Mathematique Vol 355 (2017) Issue 8, 853-858.

We prove that there are indecomposable Soergel bimodules (in type A) having negative degree endomorphisms. This is quite surprising and proves the existence of a non-perverse parity sheaf in type A.

Note: The picture is not from our paper, but from Chris Bowman’s excellent book “Diagrammatic Algebra”.

PDF An on-perverse Soergel bimodule in type