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Singular Soergel Bimodules

Singular Soergel Bimodules

We define and study categories of singular Soergel bimodules, which are certain natural generalizations of Soergel bimodules. Indecomposable singular Soergel bimodules are classified, and we conclude that the split Grothendieck group of the 2-category of singular Soergel bimodules is isomorphic to the Schur algebroid. Soergel's conjecture on the characters of …