$U_n(q)$ acting on flags and supercharacters
$U_n(q)$ acting on flags and supercharacters
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DOI：
10.1016/j.jalgebra.2016.07.014
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
R. Dipper;Qiong Guo
中科院分区：
文献类型：
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作者：
R. Dipper;Qiong Guo
设U= Un（q）是域Fq中元素为q的下单三角n× n-矩阵群，n∈ N，q为某个素幂q.研究了自然GLn（q）-模Fqn中GLn（q）在标志上的置换作用对U的限制.将我们的结果应用到长度为2的标志的特殊情况，我们得到了极大抛物子群陪集上G Ln（q）的置换表示到不可约CU-模的完全分解.
Let U= U n (q) be the group of lower unitriangular n× n-matrices with entries in the field F q with q elements for some prime power q and n∈ N. We investigate the restriction to U of the permutation action of G L n (q) on flags in the natural G L n (q)-module F q n. Applying our results to the special case of flags of length two we obtain a complete decomposition of the permutation representation of G L n (q) on the cosets of maximal parabolic subgroups into irreducible C U-modules.