Introducing supersymmetric frieze patterns and linear difference operators

Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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, isomorphic to the space of supersymmetric second order difference equations, called Hill’s equations.

Original languageEnglish (US)
Pages (from-to)1061-1087
Number of pages27
JournalMathematische Zeitschrift
Volume281
Issue number3-4
DOIs
StatePublished - Dec 1 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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