Almost cyclic elements in cross-characteristic representations of finite groups of Lie type
| Autor: | Marco Antonio Pellegrini, Alexandre Zalesski, L. Di Martino |
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| Rok vydání: | 2019 |
| Předmět: |
Thesaurus (information retrieval)
Algebra and Number Theory Information retrieval 010102 general mathematics Group Theory (math.GR) Type (model theory) 01 natural sciences Representations 010101 applied mathematics FOS: Mathematics ComputingMethodologies_DOCUMENTANDTEXTPROCESSING 20C33 20C15 20G40 0101 mathematics Mathematics - Group Theory Settore MAT/02 - ALGEBRA Mathematics |
| Zdroj: | Journal of Group Theory. 23:235-285 |
| ISSN: | 1435-4446 1433-5883 |
| DOI: | 10.1515/jgth-2018-0162 |
| Popis: | 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 $\alpha\in F$ such that $M$ is similar to $diag(\alpha \cdot Id_k, M_1)$, where $M_1$ is cyclic and $0\leq k\leq n$). 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. Comment: To appear on Journal of Group Theory |
| Databáze: | OpenAIRE |
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