B_n型仿射外尔群元素的一种表示式

An Expression of the Element in the Affine Weyl Group of Type _n

设W是仿射外尔群。H是对应的汉克代数。仿射外尔群的胞腔分解在汉克代数的表示论中发挥了重要的作用。而仿射外尔群的胞腔分解又依赖于集合L(x)和R(x)的确定。本文应用B_n型仿射外尔群元素的一种典范表示式描述了集合L(x)和R(x)。

Let W be an affine Weyl group and let H be the corresponding Hecke algebra. The decomposition, into cells of an affine Weyl group plays an important role in the representation theory of Hecke. algebra. Whereas the decomposition into cells of an affine Weyl group depends on the determining sets L(x) and, R(x). In this paper, we provide a method of computing L(x) and R(x) for any element x of the affine Weyl group W of type B_π in terms of a ganonical expressions of elements of W