论文标题
非等级$ g $ - 类别的分类（与GermánStefanich共同书写的附录）
Classification of nondegenerate $G$-categories (with an appendix written jointly with Germán Stefanich)
论文作者
论文摘要
我们将一个“密集的开放”类别子集分类为一个还原组的动作，我们将其称为非等级类别，完全根据组的根基准。作为我们方法的应用，我们也： （1）升级金茨堡和洛纳根的等效性，它标识了Bi-Whittaker $ \ Mathcal {d} $ - 在一个还原群体上的模块，该类别的类别为$ \ tilde {w} $ - equivariant冰草，在Diual Cartan subalgebra $ \ Mather上的coblak $ \ matheriant subalgebra $ \ matherfrak} $ \ mathfrak {t}^*// \ \ tilde {w} $，to monoidal等价（其中$ \ tilde {w} $表示扩展的息affine weyl group）和 （2）显示了一个非常中心的捆的抛物面限制，即获得Weyl ofer ofer epivariant结构，以使相关的模棱两可的捆起来降低到粗大的商$ \ mathfrak {t}^*// \ tilde {w} $，提供了对Ben-Zvi-Gunningham对Parabolic Parabolic paraboric parabolicham on parabolicham的猜测的证据。
We classify a "dense open" subset of categories with an action of a reductive group, which we call nondegenerate categories, entirely in terms of the root datum of the group. As an application of our methods, we also: (1) Upgrade an equivalence of Ginzburg and Lonergan, which identifies the category of bi-Whittaker $\mathcal{D}$-modules on a reductive group with the category of $\tilde{W}$-equivariant sheaves on a dual Cartan subalgebra $\mathfrak{t}^*$ which descend to the coarse quotient $\mathfrak{t}^*//\tilde{W}$, to a monoidal equivalence (where $\tilde{W}$ denotes the extended affine Weyl group) and (2) Show the parabolic restriction of a very central sheaf acquires a Weyl group equivariant structure such that the associated equivariant sheaf descends to the coarse quotient $\mathfrak{t}^*//\tilde{W}$, providing evidence for a conjecture of Ben-Zvi-Gunningham on parabolic restriction.
