岩堀向量的Casselman基与Bruhat阶
Casselman's basis of Iwahori vectors and the Bruhat order
摘要：
P-adic群G的主列表示中的Iwahori不动向量的Casselman基与标准交织算子对偶。为了计算它，必须计算由外尔群元素对索引的矩阵m（u，v）。这个矩阵是关于Bruhat阶的上三角形。一般来说，这个矩阵很难计算，但它表明，某些元素有一个很好的表达。这也适用于m（u，v）的逆矩阵。这导致了关于布鲁哈特秩序的有趣的解释。
英文摘要：
The Casselman basis of Iwahori fixed vectors in a principal series representation of a p-adic group G is dual to the standard intertwining operators. To compute it one must compute a matrix m(u,v) indexed by pairs of Weyl group elements. This matrix is upper triangular with respect to the Bruhat order. In general this matrix is difficult to compute but it is shown that certain elements have a nice expression. This is also true of the inverse matrix to m(u,v). This leads to interesting conjectures regarding the Bruhat order.
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。
