A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
AbstractWe 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 characteristicp⩾5, our algorithm has complexity involving the seventh power of the Lie rank, which is likely to be close to best possible.doi:10.1112/s1461157012001180 fatcat:wttxkvgksnb2vjn4lz5pjs3vti