Classic and Mirabolic Robinson–Schensted–Knuth Correspondence for Partial Flags
Classic and Mirabolic Robinson–Schensted–Knuth Correspondence for Partial Flags
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部分标志的经典和 Mirabolic Robinson-Schensted-Knuth 对应
DOI：
10.4153/cjm-2011-071-7
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
D. Rosso
中科院分区：
文献类型：
--
作者：
D. Rosso
本文首先利用Robinson-Schensted-Knuth对应将Spalstein和Steinberg证明的一个结果推广到部分标志的情形，该结果将两个完整标志的相对位置与它们所在的标志簇的不可约分量联系起来。然后，我们利用这一结果将Travkin定义的Mirabolic Robinson-Schensted-Knuth对应推广到两个部分标志和一条直线的情况。
Abstract In this paper we first generalize to the case of partial flags a result proved both by Spaltenstein and by Steinberg that relates the relative position of two complete flags and the irreducible components of the flag variety in which they lie, using the Robinson–Schensted–Knuth correspondence. Then we use this result to generalize the mirabolic Robinson–Schensted–Knuth correspondence defined by Travkin, to the case of two partial flags and a line.