Computing Chevalley bases in small characteristics

A.M. Cohen, D.A. Roozemond

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)


Let L be the Lie algebra of a simple algebraic group defined over a field F and let H be a split maximal toral subalgebra of L. Then L has a Chevalley basis with respect to H. If char (F) ¿ 2,3, it is known how to find it. In this paper, we treat the remaining two characteristics. To this end, we present a few new methods, implemented in Magma, which vary from the computation of centralizers of one root space in another to the computation of a specific part of the Lie algebra of derivations of L.
Original languageEnglish
Pages (from-to)703-721
JournalJournal of Algebra
Issue number3
Publication statusPublished - 2009


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