1 citations · 2 across the 6 of their papers we have counts for
7 papers
A geometric characterization of the finitary special linear and unitary Lie algebras
Hans Cuypers, Marc Oostendorp
An extremal element in a Lie algebra is an element for which the space is contained in the linear span of . Long root elements in cla…
Line graphs of Multi-Graphs and the forbidden graph
Hans Cuypers
The line graph of a multi-graph is the graph whose vertices are the edges of , where two such edges are adjacent if and only if they meet in a single vertex of . We p…
Whitney's Theorem for Line Graphs of Multi-Graphs
Hans Cuypers
Whitney's Theorem states that every graph, different from or , is uniquely determined by its line graph. A -line graph of a multi-graph is the graph with as verti…
The geometry of hyperbolic lines in polar spaces
Hans Cuypers
In this paper we consider partial linear spaces induced on the point set of a polar space, but with as lines the hyperbolic lines of this polar space. We give some geometric charac…
On some subgroups of linear groups over generated by elements of order
Hans Cuypers
Let be a vector space over the field of order . We investigate subgroups of the linear group which are generated by a conjugacy class of elements of order su…
A geometric characterization of the symplectic Lie algebra
Hans Cuypers, Yael Fleischmann
A nonzero element in a Lie algebra with Lie product is called extremal if is a multiple of for all . In this paper we characterize the…