Algorithmic construction of Chevalley bases

Details Algorithmic construction of Chevalley bases Algorithmic construction of Chevalley bases

2012-03-23

arxiv.org/abs/1203.5228v1

Mathematics

Group Theory

Scientific paper

We present a new algorithm for constructing a Chevalley basis for any Chevalley Lie algebra over a finite field. This is a necessary component for some constructive recognition algorithms of exceptional quasisimple groups of Lie type. When applied to a simple Chevalley Lie algebra in characteristic at least 5, our algorithm has complexity involving the 7th power of the Lie rank, which is likely to be close to best possible.

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