Weakly periodic ground states for the λ-model

• Date: 2020
• Main Authors: Mukhamedov, Farrukh M., Rahmatullaev, Muzaffar M., Rasulova, M. A., Мухамедов, Фаррух Максутович, Рахматуллаев, Музаффар Мухаммаджанович, Расулова, Мухайе Акбаржон
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1095
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the $\lambda$-model on a Cayley tree of order $k\geq2,$ we describe a set of periodic and weakly periodic ground states that correspond to normal divisors of index 2 of the group representation of the Cayley tree.