The Gram matrix of a Temperley-Lieb algebra is similar to the matrix of chromatic joins

2008/06/05 by Qi Chen, Chen, Qi, Józef H. Przytycki +1
Mathematics · #06A #57M #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT)

paper · pdf · doi:10.48550/arxiv.0806.0878

openalex publication_date 2008/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we show that the matrix of chromatic joins and the Gram matrix of the Temperley-Lieb algebra are similar (after rescaling), with the change of basis given by diagonal matrices.

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