Super-characters of finite unipotent groups of types B n , C n and D n
Super-characters of finite unipotent groups of types B n , C n and D n
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DOI：
10.1016/j.jalgebra.2006.04.030
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发表时间：
2006-11
影响因子：
0.9
通讯作者：
C. André;Ana Margarida Neto
中科院分区：
文献类型：
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作者：
C. André;Ana Margarida Neto
定义并研究了Bn、cn和Dn型经典有限单幂群的复域上的超特征。在素数足够大的假设下，推广了第一作者所证明的单角群的已知结果[j] .数学学报，2000 (1):1 - 3(1)单角群的基本性质（对于任意素数）；数学。社会科学，130(7)(2002)[1943-1954]。特别地，我们证明了每一个不可约（复）字符都是一个唯一的超字符的组成部分。并给出了最大次的所有不可约性质的组合描述。
We define and study super-characters (over the complex field) of the classical finite unipotent groups of types Bn, Cnand Dn. Under the assumption that the prime is sufficiently large, we extend the known results for the unitriangular group proved by the first author in the papers: [C.A.M. André, Basic characters of the unitriangular group, J. Algebra 175 (1995) 287–319], and [C.A.M. André, Basic characters of the unitriangular group (for arbitrary primes), Proc. Amer. Math. Soc. 130 (7) (2002) 1943–1954]. In particular, we prove that every irreducible (complex) character occurs as a constituent of a unique super-character. We also give a combinatorial description of all the irreducible characters of maximum degree.