23 citations · 53 across the 5 of their papers we have counts for
5 papers
Computing Split Maximal Toral Subalgebras of Lie algebras over Fields of Small Characteristic
Dan Roozemond
Important subalgebras of a Lie algebra of an algebraic group are its toral subalgebras, or equivalently (over fields of characteristic 0) its Cartan subalgebras. Of great importanc…
On Lie Algebras Generated by Few Extremal Elements
Dan Roozemond
We give an overview of some properties of Lie algebras generated by at most 5 extremal elements. In particular, for any finite graph Γ and any field K of characteristic not 2, we c…
Computing Chevalley bases in small characteristics
Arjeh M. Cohen, Dan A. Roozemond
Let L be the Lie algebra of a simple algebraic group defined over a field F and let H be a split Cartan subalgebra of L. Then L has a Chevalley basis with respect to H. If the char…
Simple Lie Algebras having Extremal Elements
Arjeh M. Cohen, Gabor Ivanyos, Dan A. Roozemond
Let L be a simple finite-dimensional Lie algebra of characteristic distinct from 2 and from 3. Suppose that L contains an extremal element that is not a sandwich, that is, an eleme…
Extremal Presentations for Classical Lie Algebras
Jos in 't panhuis, Erik Postma, Dan Roozemond
The long-root elements in Lie algebras of Chevalley type have been well studied and can be characterized as extremal elements, that is, elements such that the image of $(\ad x)…