H. Cuypers

activity

20142026

most citedCharacterizations of symplectic polar spaces

3 citations · 5 across the 12 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

math.RA2021★ 1 cited

A geometric characterization of the finitary special linear and unitary Lie algebras

Hans Cuypers, Marc Oostendorp

An extremal element $x$ in a Lie algebra $g$ is an element for which the space $[x, [x, g]]$ is contained in the linear span of $x$ . Long root elements in cla…

math.CO2021

Line graphs of Multi-Graphs and the forbidden graph $E_{6}$

Hans Cuypers

The line graph $Γ$ of a multi-graph $Δ$ is the graph whose vertices are the edges of $Δ$ , where two such edges are adjacent if and only if they meet in a single vertex of $Δ$ . We p…

math.CO2021★ 1 cited

Whitney's Theorem for Line Graphs of Multi-Graphs

Hans Cuypers

Whitney's Theorem states that every graph, different from $K_{3}$ or $K_{1, 3}$ , is uniquely determined by its line graph. A $1$ -line graph of a multi-graph is the graph with as verti…

math.RA2021

Quasi-Clifford algebras, Quadratic forms over $F_{2}$ , and Lie Algebras

Hans Cuypers

Let $Γ = (V, E)$ be a graph, whose vertices $v \in V$ are colored black and white and labeled with invertible elements $λ_{v}$ from a commutative and associ…

A geometric characterization of the finitary special linear and unitary Lie algebras

Line graphs of Multi-Graphs and the forbidden graph E6​

Whitney's Theorem for Line Graphs of Multi-Graphs

Quasi-Clifford algebras, Quadratic forms over F2​, and Lie Algebras

Line graphs of Multi-Graphs and the forbidden graph $E_{6}$

Quasi-Clifford algebras, Quadratic forms over $F_{2}$ , and Lie Algebras