Isolated blocks in finite classical groups, II
Isolated blocks in finite classical groups, II
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有限经典群中的孤立块，II
DOI：
10.1016/j.jalgebra.2006.05.040
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发表时间：
1996
影响因子：
0.9
通讯作者：
B. Srinivasan
中科院分区：
文献类型：
--
作者：
B. Srinivasan
有限典型群的l-块（其中l是不等于群的定义特征的素数）在对偶群中被划分为l′-半单类.对应于对偶群的自然表示中特征值为±1的半单元素类的块称为孤立块。这些块在作者早期的论文中通过Lusztig归纳法对群Sp（2n，q）和SO±（2n，q）（q奇数，l奇数）进行了描述。本文利用Waldspurger的一些结果，给出了大q时Sp（2n，q）和O±（2n，q）（q奇，l奇）的孤立块的Lusztig符号的组合描述.
The l-blocks of finite classical groups, where l is a prime not equal to the defining characteristic of the groups, are classified by l′-semisimple classes in the dual groups. The blocks corresponding to semisimple classes of elements with eigenvalues ±1 in the natural representations of the dual groups are called isolated blocks. These blocks were described in an earlier paper of the author for the groups Sp(2n,q) and SO±(2n,q) (q odd, l odd) via Lusztig induction. In this paper a combinatorial description of the isolated blocks of Sp(2n,q) and O±(2n,q) (q odd, l odd) in terms of Lusztig symbols is given for large q, using some results of Waldspurger.