Origins of the Temperley-Lieb algebra: early history

2023/07/21 by Stephen Doty, Doty, Stephen, Anthony Giaquinto +1 · 3 citations
Chemistry · Computer Science · Mathematics · #16G99 #16T30 #17B37 #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #FOS: Mathematics #History and Theory of Mathematics #History and advancements in chemistry #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2307.11929

openalex publication_date 2023/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Half-Diagrams in Partition Algebras: A Geometric Perspective on Multiplicities
• Temperley-Lieb categories with coloured regions and Jones-Wenzl projectors
• Search for a basis of the Temperley-Lieb algebra, using rewriting systems

Related

• A categorical and diagrammatical approach to Temperley-Lieb algebras
• Presentations for Temperley-Lieb algebras
• Search for a basis of the Temperley-Lieb algebra, using rewriting systems
• Higher-dimensional Temperley-Lieb algebras
• Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra