A polytope calculus for semisimple groups
A polytope calculus for semisimple groups
复制标题
半单群的多面体演算
DOI：
10.1215/s0012-7094-03-11636-1
复制
发表时间：
2003
影响因子：
2.5
通讯作者：
Jared E. Anderson
中科院分区：
文献类型：
--
作者：
Jared E. Anderson
我们定义与半单群 G 相关的多面体集合。权重重数和张量乘积重数可以计算为拟合在特定区域中的此类多面体的数量。多胞体被定义为由 I. Mirkovi ć 和 K. Vilonen 发现的代数环的矩图图像。这些循环是格拉斯曼循环（层的闭合）的交集同源性的规范基础。
We define a collection of polytopes associated to a semisimple group G. Weight multiplicities and tensor product multiplicities may be computed as the number of such polytopes fitting in a certain region. The polytopes are defined as moment map images of algebraic cycles discovered by I. Mirkovi ć and K. Vilonen. These cycles are a canonical basis for the intersection homology of (the closures of the strata of) the loop Grassmannian.