论文标题
加洛伊斯的汽车和古典群体
Galois Automorphisms and Classical Groups
论文作者
论文摘要
在先前的工作中，第二名作者完整地描述了自动形态对有限符合群体的普通不可约特征的作用。我们将其概括为两个方向。首先，使用名称为“作者”的作品，我们完整地描述了Galois自动形态对不可约性角色的作用。其次，我们扩展了两个描述，以涵盖特殊的正交组的情况。结果，我们获得了符号和特殊正交组的字符字段的明确描述。
In a previous work, the second-named author gave a complete description of the action of automorphisms on the ordinary irreducible characters of the finite symplectic groups. We generalise this in two directions. Firstly, using work of the first-named author, we give a complete description of the action of Galois automorphisms on irreducible characters. Secondly, we extend both descriptions to cover the case of special orthogonal groups. As a consequence, we obtain explicit descriptions for the character fields of symplectic and special orthogonal groups.
