THE GRAM MATRIX OF A TEMPERLEY-LIEB ALGEBRA IS SIMILAR TO THE MATRIX OF CHROMATIC JOINS

DOI10.1142/S021919970800306XzbMath1158.57012arXiv0806.0878MaRDI QIDQ3607436

Józef H. Przytycki, Qi Chen

Publication date: 2 March 2009

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0878

zbMATH Keywords

Temperley-Lieb algebragram matrixchromatic joins

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Combinatorics of partially ordered sets (06A07)

Related Items (3)

Asymptotic infinitesimal freeness with amalgamation for Haar quantum unitary random matrices ⋮ The Gram determinant of the type B Temperley-Lieb algebra ⋮ Decomposition results for Gram matrix determinants

Cites Work

• A combinatorial matrix in 3-manifold theory
• Invariants for 3-manifolds from the combinatorics of the Jones polynomial
• Meander determinants
• On an algebraic approach to higher dimensional statistical mechanics
• The matrix of chromatic joins
• Non-crossing partitions for classical reflection groups
• Problems related to type-\(A\) and type-\(B\) matrices of chromatic joins
• On two determinants with interesting factorizations
• The representation theory of the Temperley-Lieb algebras
• Noncrossing partitions

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