Quantum real numbers and q-deformed Conway-Coxeter friezes

2020/11/21 by Morier-Genoud, Sophie, Ovsienko, Valentin
#Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2011.10809

Abstract

We explain the notion of "q-deformed real numbers" introduced in our previous work and overview their main properties. We will also introduce q-deformed Conway-Coxeter friezes.

Related

• q-deformed rationals and irrationals
• Observable Properties of q-Deformed Physical Systems
• Spinor calculus for q-deformed quantum spaces I
• Quantum Real Lines,Infinitesimal Structure of \R
• Quantizations of R(eal numbers)