3 papers
math.CO2020
Formal self duality
Lukas Kölsch, Robert Schüler
We study the notion of formal self duality in finite abelian groups. Formal duality in finite abelian groups has been proposed by Cohn, Kumar, Reiher and Schürmann. In this paper w…
math.MG2020
-vectors of -polytopes symmetric under rotations and rotary reflections
Maren H. Ring, Robert Schüler
The -vector of a polytope consists of the numbers of its -dimensional faces. An open field of study is the characterization of all possible -vectors. It has been solved in…
math.CO2018
Formal Duality in Finite Abelian Groups
Shuxing Li, Alexander Pott, Robert Schüler
Inspired by an experimental study of energy-minimizing periodic configurations in Euclidean space, Cohn, Kumar and Schürmann proposed the concept of formal duality between a pair o…