TY - JOUR
T1 - Introducing supersymmetric frieze patterns and linear difference operators
AU - Morier-Genoud, Sophie
AU - Ovsienko, Valentin
AU - Tabachnikov, Serge
N1 - Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00209-015-1520-x
DO - 10.1007/s00209-015-1520-x
M3 - Article
AN - SCOPUS:84947031451
SN - 0025-5874
VL - 281
SP - 1061
EP - 1087
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3-4
ER -