Cyclic representations of the periodic Temperley Lieb algebra, complex Virasoro representations and stochastic processes

Francisco C. Alcaraz, Arum Ram, Vladimir Rittenberg

An $N$ $\left(\genfrac{}{}{0ex}{}{L}{L/2}\right)$-dimensional representation of the periodic Temperley-Lieb algebra $T{L}_L(x)$ is presented. It is also a representation of the cyclic group $Z_N$. We choos…