Matrix Generators for Exceptional Groups of Lie Type
Copyright policy )Matrix Generators for Exceptional Groups of Lie Type
The authors give a uniform method of constructing generators for matrix representations of finite groups of Lie type with particular emphasis on the exceptional groups. The algorithm constructs matrices for the action of root elements on the lowest dimension representation of an associated Lie algebra. These generators have been implemented in the computer algebra system Magma and this completes the provision of pairs of matrix generators for all finite groups of Lie type.
- University of Sydney Australia
- Western Sydney University Australia
Generators, relations, and presentations of groups, Algebra and Number Theory, mathematics, Magma, computer science, Representations of finite groups of Lie type, algorithms, Lie type, Computational Mathematics, exceptional groups of Lie type, matrices, Linear algebraic groups over finite fields, finite groups of Lie type, Simple groups: alternating groups and groups of Lie type, matrix generators, Computational methods (representations of groups)
Generators, relations, and presentations of groups, Algebra and Number Theory, mathematics, Magma, computer science, Representations of finite groups of Lie type, algorithms, Lie type, Computational Mathematics, exceptional groups of Lie type, matrices, Linear algebraic groups over finite fields, finite groups of Lie type, Simple groups: alternating groups and groups of Lie type, matrix generators, Computational methods (representations of groups)
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