蜂巢和卷积态射的纤维
Hives and the fibres of the convolution morphism
摘要：
通过几何佐竹对应，仿射格拉斯曼卷积态射的某些纤维的分量数等于Langlands对偶群表示的张量积重数。另一方面，在GL_n的情况下，称为蜂巢的组合对象也计算张量积多重性。本文的目的是给一个简单的双射蜂巢和这些纤维的成分。特别是，我们给出了单个组件的描述。我们还描述了一个几何推广涉及八面体递归。
英文摘要：
By the geometric Satake correspondence, the number of components of certain fibres of the affine Grassmannian convolution morphism equals the tensor product multiplicity for representations of the Langlands dual group. On the other hand, in the case of GL_n, combinatorial objects called hives also count tensor product multiplicities. The purpose of this paper is to give a simple bijection between hives and the components of these fibres. In particular, we give a description of the individual components. We also describe a conjectural generalization involving the octahedron recurrence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
