The equation [B,(A-1)(A,B)]=0 and virtual knots and links
The equation [B,(A-1)(A,B)]=0 and virtual knots and links
Let $A$, $B$ be invertible, non-commuting elements of a ring $R$. Suppose that $A-1$ is also invertible and that the equation $[B,(A-1)(A,B)]=0$ called the fundamental equation is satisfied. Then this defines a representation of the algebra ${\mathcal F}