Solutions of the hexagon equation for abelian anyons

César Galindo, Nicolás Jaramillo
2017 Revista Colombiana de Matemáticas  
We address the problem of determining the obstruction to existence of solutions of the hexagon equation for abelian fusion rules and the classification of prime abelian anyons. Given an abelian group A we will denote by S 2 (A), ∧ 2 A and A ⊗2 the second symmetric power, second exterior power and second tensor power of A, respectively. Here, we see A as a Z-module.
doi:10.15446/recolma.v50n2.62213 fatcat:5l2vaph5d5ejngphlo3kxseazy