2 papers
math.GR2026
On subgroups of Brin-Thompson groups
Sadayoshi Kojima, Xiaobing Sheng
We prove that the Brin-Thompson group is torsion locally finite for which is known only when , and contains continuum many copies of the additive group…
hep-th2023
Hofstadter-Toda spectral duality and quantum groups
Pasquale Marra, Valerio Proietti, Xiaobing Sheng
The Hofstadter model allows to describe and understand several phenomena in condensed matter such as the quantum Hall effect, Anderson localization, charge pumping, and flat-bands…