CORRIGENDA: LOW-DIMENSIONAL REPRESENTATIONS OF QUASI-SIMPLE GROUPS
CORRIGENDA: LOW-DIMENSIONAL REPRESENTATIONS OF QUASI-SIMPLE GROUPS
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勘误：拟简单群的低维表示
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
G. Malle
中科院分区：
文献类型：
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作者：
G. Hiss;G. Malle
这篇论文包含了对发表在论文“Lowdimensional representations of quasi-simple groups”，LMS Journal of Computation and Mathematics 4（2001）22 - 63中的准单群的低维表示表的更正。在我们的论文“拟单群的低维表示”中，我们确定了维数不超过250的拟单群的所有绝对不可约表示，不包括那些定义特征为李型的群。Martin Liebeck曾善意地指出我们的表中有三个遗漏：群L3.3/的12维和13维表示，以及L4.5/在特征2中的248维表示。当检查我们的论证和计算时，我们意识到事实上L3.3/的所有表示都丢失了，以及维数超过247的L4.5/的表示。L 3.3/的绝对不可约表示可以在模Atlas [7]中找到。这导致下面表1的第一部分。
This paper contains corrections to the tables of low-dimensional representations of quasi-simple groups published in the paper, ‘Lowdimensional representations of quasi-simple groups’, LMS Journal of Computation and Mathematics4 (2001) 22‐63. In our paper ‘Low-dimensional representations of quasi-simple groups’ , we determine all the absolutely irreducible representations of quasi-simple groups of dimension at most 250, excluding those of groups of Lie type in their defining characteristic. Martin Liebeck has kindly pointed out to us three omissions in our tables: the 12- and 13dimensional representations of the group L3.3/, and the 248-dimensional representations of L4.5/ in characteristic 2. When checking our arguments and calculations we realized that in fact all the representations of L3.3/ were missing, as well as the representations of L4.5/ of dimension exceeding 247. The absolutely irreducible representations of L 3.3/ can be found in the modular Atlas [7]. This leads to the first part of Table 1 below.