Papers › On certain Hochschild cohomology groups for the small quantum group
On certain Hochschild cohomology groups for the small quantum group
Nicolas Hemelsoet, Rik Voorhaar
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We apply the sheaf cohomology BGG method developed by the authors and Lachowska-Qi to the computation of Hochschild cohomology groups of various blocks of the small quantum group. All our computations of the center of the corresponding block agree with the conjectures of Lachowska-Qi. In the case of the nontrivial singular block for 𝔤 = 𝔰𝔩₃, we obtain the H*(𝔲, ℂ) = ℂ[𝒩]-module structure of HH*(𝔲_λ).
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