满一般线性群的无序特征
Derangement characters of the full general linear group
摘要：
我们重点研究了$GL(n,q)$的无序特征，它只依赖于固定向量空间的维数。这个族包括成为渐近不可约为$n\to\infty$的Thoma特征标。我们发现明确的分解托马斯字符到不可约，进一步构建错乱字符和寻求极端的家庭错乱字符。
英文摘要：
We focus on derangement characters of $GL(n,q)$ which depend solely on the dimension of the space of fixed vectors. This family includes Thoma characters which become asymptotically irreducible as $n\to\infty$. We find explicit decomposition of Thoma characters into irreducibles, construct further derangement characters and seek for extremes in the family of derangement characters.
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。
