论文标题
类别的中心$ \ MATHCAL {O} $用于混合量子组
Center of the category $\mathcal{O}$ for a hybrid quantum group
论文作者
论文摘要
我们在unity $ζ$根部的混合量子组的类别$ \ Mathcal {O} $之间建立了一个代数同构，以及$ζ$ fixed of Affine grassmannian的locus of unity $ζ$。作者的上一篇论文建立了这种同构的变形版本。对于$ \ Mathcal {O} $的Steinberg块，我们在Springer分辨率上构建了与Equivariant Sheaves类别的Abelian等效性。
We establish an algebra isomorphism between the center of the category $\mathcal{O}$ for a hybrid quantum group at a root of unity $ζ$ and the cohomology of $ζ$-fixed locus on affine Grassmannian. A deformed version of this isomorphism was established in the previous paper of the author. For the Steinberg block of $\mathcal{O}$, we construct an abelian equivalence to the category of equivariant sheaves on the Springer resolution.
