A. Giaquinto

works on

cellular algebras 1 center of algebras 1 diagram algebras 1 standard modules 1 temperley-lieb algebra 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.QA2026

The Center of the Temperley-Lieb Algebra

Anthony Giaquinto, Mitja Mastnak

The paper determines the dimension of the center of the Temperley‑Lieb algebra TLₙ(δ) over a characteristic‑zero field, proving it equals 1+⌊n/2⌋, and studies symmetry properties o…

math.QA2026

Lowering operators, orthogonal decomposition of tensor space, and quantized Schur--Weyl duality

Stephen Doty, Anthony Giaquinto, Stuart Martin

For $q$ generic, Jimbo showed that $q$ -tensor space $V_{q}^{\otimes r}$ (where $V_{q}$ is the $n$ -dimensional vector representation) satisfies Schur--Weyl duality with respect to the c…

math.CO2025

Origins of the Temperley-Lieb algebra: early history

Stephen Doty, Anthony Giaquinto

We give an historical survey of some of the original basic algebraic and combinatorial results on Temperley-Lieb algebras, with a focus on certain results that have become folklore…