This paper is a significant contribution to a general programme aimed to classify all projective irreducible representations of finite simple groups over an algebraically closed field, in which the image of at least one element is represented by an almost cyclic matrix (that is, a square matrix M of size n over a field F with the property that there exists alpha is an element of F such that M is similar to diag(alpha . Id(k) , M-1), where M-1 is cyclic and 0 <= k <= n). While a previous paper dealt with the Weil representations of finite classical groups, which play a key role in the general picture, the present paper provides a conclusive answer for all cross-characteristic projective irreducible representations of the finite quasi-simple groups of Lie type and their automorphism groups.
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机译：本文对旨在通过代数封闭领域对有限简单组的所有投影IRREECIBLE表示分类的一般计划的重要贡献，其中至少一个元素的图像由几乎循环矩阵表示（即，方矩阵 M尺寸N尺寸在具有alpha的属性上的字段f中是f的元素，使m类似于诊断（alpha。id（k），m-1），其中m-1是循环和0 <= k <= n）。 虽然之前的论文涉及有限古典团体的Weil表示，但在一般图片中发挥关键作用，而本文为所有弦乐群体的所有跨特征投射不可缩短的谎言类型和 他们的自动形态群体。
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