Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Cuypers, Hans"'
Publikováno v:
Adv. Geom. 23(2) (2023) 281-293
A polar space S is said to be symplectic if it admits an embedding e in a projective geometry PG(V) such that the e-image e(S) of S is defined by an alternating form of V. In this paper we characterize symplectic polar spaces in terms of their incide
Externí odkaz:
http://arxiv.org/abs/2205.14426
Autor:
Cuypers, Hans, Oostendorp, Marc
An extremal element $x$ in a Lie algebra $\mathfrak{g}$ is an element for which the space $[x, [x, \mathfrak{g}]]$ is contained in the linear span of $x$. Long root elements in classical Lie algebras are examples of extremal elements. Lie algebras ge
Externí odkaz:
http://arxiv.org/abs/2105.11967
Autor:
Cuypers, Hans
Let $\Gamma=(\mathcal{V},\mathcal{E})$ be a graph, whose vertices $v\in \mathcal{V}$ are colored black and white and labeled with invertible elements $\lambda_v$ from a commutative and associative ring $R$ containing $\pm 1$. Then we consider the ass
Externí odkaz:
http://arxiv.org/abs/2105.08637
Autor:
Cuypers, Hans
The line graph $\Gamma$ of a multi-graph $\Delta$ is the graph whose vertices are the edges of $\Delta$, where two such edges are adjacent if and only if they meet in a single vertex of $\Delta$. We provide several characterizations of such line grap
Externí odkaz:
http://arxiv.org/abs/2105.08618
Autor:
Cuypers, Hans
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 vertices the edges of the multi-graph, and two edges adjacent if and only i
Externí odkaz:
http://arxiv.org/abs/2105.08610
Autor:
Cuypers, Hans
Let $V$ be a vector space over the field of order $2$. We investigate subgroups of the linear group $GL(V)$ which are generated by a conjugacy class $D$ of elements of order $3$ such that all $d$ in $D$ have $2$-dimensional commutator space $[V,d]$.
Externí odkaz:
http://arxiv.org/abs/1707.02097
Autor:
Cuypers, Hans
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 characterizations of these and related spaces. The results have applications
Externí odkaz:
http://arxiv.org/abs/1707.02099
Autor:
Cuypers, Hans, Fleischmann, Yael
A nonzero element $x$ in a Lie algebra $\mathfrak{g}$ with Lie product $[ , ]$ is called extremal if $[x,[x,y]]$ is a multiple of $x$ for all $y$. In this paper we characterize the (finitary) symplectic Lie algebras as simple Lie algebras generated b
Externí odkaz:
http://arxiv.org/abs/1707.02095
Autor:
Cuypers, Hans, Fleischmann, Yael
A nonzero element x in a Lie algebra g over a field F with Lie product [ , ] is called a extremal element if [x, [x, g]] is contained in Fx. Long root elements in classical Lie algebras are examples of extremal elements. Arjeh Cohen et al. initiated
Externí odkaz:
http://arxiv.org/abs/1707.02084
Autor:
Cuypers, Hans, Meulewaeter, Jeroen
Publikováno v:
In Journal of Algebra 15 August 2021 580:1-42
