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キーワード:
Mathematics, Representation Theory
要旨:
We generalize the construction of Rouquier complexes to the setting of one-sided singular Soergel bimodules. Singular Rouquier complexes are defined by taking
minimal complexes of restricted Rouquier complexes. We show that they retain many of the properties of ordinary Rouquier complexes: they are Δ-split, they satisfy a vanishing formula, and when Soergel’s conjecture holds
they are perverse. As an application, we establish Hodge theory for singular Soergel bimodules.
