Dual bases in Temperley–Lieb algebras, quantum groups, and a question of Jones
Dual bases in Temperley–Lieb algebras, quantum groups, and a question of Jones
We derive a Laurent series expansion for the structure coefficients appearing in the dual basis corresponding to the Kauffman diagram basis of the Temperley–Lieb algebra TL _k(d) , converging for all complex loop parameters d with |d| > 2\cos\big(\frac{\pi}{k+1}\big) . In particular, this yields a new formula for the structure …