Geodesic
Hecke surfaces and duality transformations in lattice spin systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 3, pp. 505-512

Voir la notice de l'article provenant de la source Math-Net.Ru

We discuss two related subjects: (1) Hecke surfaces and $K$-regular graphs and (2) duality transformations for generalized Potts models. Each is related to deep mathematical and physical theories; at a first glance, they have nothing in common. But it has recently become more evident that there are deep internal relations between these two problems. The role of Hecke groups is especially interesting and mysterious in this context. We consider a few examples. The exposition is basically descriptive.
Keywords: Hecke group, Potts model, duality transformation. 
@article{TMF_2010_163_3_a13,
     author = {M. I. Monastyrskii},
     title = {Hecke surfaces and duality transformations in lattice spin systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {505--512},
     publisher = {mathdoc},
     volume = {163},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a13/}
}
TY  - JOUR
AU  - M. I. Monastyrskii
TI  - Hecke surfaces and duality transformations in lattice spin systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2010
SP  - 505
EP  - 512
VL  - 163
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a13/
LA  - ru
ID  - TMF_2010_163_3_a13
ER  - 
%0 Journal Article
%A M. I. Monastyrskii
%T Hecke surfaces and duality transformations in lattice spin systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2010
%P 505-512
%V 163
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a13/
%G ru
%F TMF_2010_163_3_a13
M. I. Monastyrskii. Hecke surfaces and duality transformations in lattice spin systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 3, pp. 505-512. http://geodesic.mathdoc.fr/item/TMF_2010_163_3_a13/