Basic characters of the unitriangular group (for arbitrary primes)
Basic characters of the unitriangular group (for arbitrary primes)
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DOI：
10.1090/s0002-9939-02-06287-1
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发表时间：
2002-01
期刊：
影响因子：
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通讯作者：
C. André
中科院分区：
文献类型：
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作者：
C. André
设U n (q)表示有限域F q上有q个元素的n次的（上）幺直角群。本文考虑了U n (q)的基本（复）字元，证明了U n (q)的每一个不可约的（复）字元都是一个唯一的基本字元的组成部分。该结果推广了作者在假设p > n下证明的一个结果，其中p为场Fq的特征。
Let U n (q) denote the (upper) unitriangular group of degree n over the finite field F q with q elements. In this paper we consider the basic (complex) characters of U n (q) and we prove that every irreducible (complex) character of U n (q) is a constituent of a unique basic character. This result, extends a previous result which was proved by the author under the assumption p > n, where p is the characteristic of the field Fq.