A categorical and diagrammatical approach to Temperley-Lieb algebras

Abstract

Algebraic basics on Temperley-Lieb algebras are proved in an elementary and straightforward way with the help of tensor categories behind them.

27 pages

References in corpus (2)

• Spherical Categories
• Ideals in the Temperley Lieb Category

Cited by in corpus (9)

• Integration over compact quantum groups
• The Nakayama automorphism of the almost Calabi-Yau algebras associated to SU(3) modular invariants
• Partial compact quantum groups
• Representations of multicategories of planar diagrams and tensor categories
• Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants
• Oriented Kauffman diagrams and universal quantum groups
• Motzkin Algebras and the $A_n$ Tensor Categories of Bimodules
• Classification of Module Categories for $SO(3{)}_{2m}$
• On the homology of almost Calabi-Yau algebras associated to SU(3) modular invariants