Identification of matrix generators of a Chevalley group.

DOI10.1016/j.jalgebra.2006.06.027zbMath1124.20008OpenAlexW2075404452MaRDI QIDQ875097

Alexander J. E. Ryba

Publication date: 11 April 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.06.027

zbMATH Keywords

algorithmsgeneratorsrepresentationsgroups of Lie typeChevalley groupsquasisimple groupsChevalley bases

Mathematics Subject Classification ID

Related Items (7)

RECOGNITION OF SMALL DIMENSIONAL REPRESENTATIONS OF GENERAL LINEAR GROUPS ⋮ Computer construction of split Cartan subalgebras ⋮ Recognition of absolutely irreducible matrix groups that are tensor decomposable or induced ⋮ Calculations in exceptional groups over rings. ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ An algorithm for Lang's theorem. ⋮ Construction of Some Irreducible Subgroups of E₈ and E₆

Uses Software

• MeatAxe

Cites Work

• Die adjungierten Darstellungen der Chevalley-Gruppen
• Computer condensation of modular representations
• Writing projective representations over subfields.
• Modular representations of simple Lie algebras
• Treating the Exceptional Cases of the MeatAxe
• Computing in groups of Lie type
• Small Degree Representations of Finite Chevalley Groups in Defining Characteristic
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