11 citations · 15 across the 3 of their papers we have counts for
3 papers
math.GR2011★ 4 cited
Lie algebras and 3-transpositions
H. Cuypers, M. Horn, J. in 't panhuis +1
We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie alge…
math.RA2007
Constructing simply laced Lie algebras from extremal elements
Jan Draisma, Jos in 't panhuis
For any finite graph Gamma and any field K of characteristic unequal to 2 we construct an algebraic variety X over K whose K-points parameterise K-Lie algebras generated by extrema…
math.RA2007★ 11 cited
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)…