Introducing supersymmetric frieze patterns and linear difference operators
Rings and Algebras
2015-03-25 v2 Combinatorics
Abstract
We introduce a supersymmetric analog of the classical Coxeter frieze patterns. Our approach is based on the relation with linear difference operators. We define supersymmetric analogs of linear difference operators called Hill's operators. The space of these "superfriezes" is an algebraic supervariety, which is isomorphic to the space of supersymmetric second order difference equations, called Hill's equations.
Cite
@article{arxiv.1501.07476,
title = {Introducing supersymmetric frieze patterns and linear difference operators},
author = {Sophie Morier-Genoud and Valentin Ovsienko and Serge Tabachnikov},
journal= {arXiv preprint arXiv:1501.07476},
year = {2015}
}
Comments
Appendix 2 on Supercontinuants is written by Alexey Ustinov