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Matrix Generators for Exceptional Groups of Lie Type

✍ Scribed by R.B Howlett; L.J Rylands; D.E Taylor

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
337 KB
Volume
31
Category
Article
ISSN
0747-7171

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✦ Synopsis

This paper gives 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.

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