4 papers
math.CO2026
On Orthogonal Graphs and their Automorphisms
Hans Cuypers
We provide a characterization of the connected subgraphs of the graphs with vertex set the non-isotropic points in a quadratic space , two points adjacent if and only if the…
math.RA2026
Quasi-Clifford algebras, Quadratic forms over , and Lie Algebras
Hans Cuypers
Let be a graph, whose vertices are colored black and white and labeled with invertible elements from a commutative and asso…
quant-ph2026
Dynamical Lie algebras generated by Pauli strings and quadratic spaces over
Hans Cuypers
Dynamical Lie algebras, i.e. Lie subalgebras of , generated by Pauli strings have recently been studied intensively. They are also called Pauli Lie algebras or…
math.AC2026
Graphs, Axial Algebras and their Automorphism Groups
Hans Cuypers
We introduce a class of algebras over a field related to directed graphs in which all edges are labeled by nonzero elements of the field . If all labels ar…