We present a uniform description of the center of the Temperley–Lieb algebra \(TL_n(\delta)\) for all nonzero complex parameters \(\delta\). In particular, we show that the center has dimension \[dim(Z(TL_n(\delta)) = 1 +\lfloor\frac{n}{2}\rfloor\] for every\(n\) and \(\delta\), and we describe a basis arising from a natural filtration closely tied to the cellular structure of \(TL_n(\delta)\). Our approach makes use of the diagrammatic and algebraic presentation of Temperley–Lieb algebras, their representation theory, and deformation theoretic methods.

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