Pascal's triangle and word bases for blob algebra ideals

Abstract

We give an elementary proof of isomorphism of the blob (diagram) algebra and the corresponding extended Temperley-Lieb algebra (defined by presentation).

References in corpus (4)

• On an algebraic approach to higher dimensional statistical mechanics
• One-boundary Temperley-Lieb algebras in the XXZ and loop models
• Bethe Ansatz for the Temperley-Lieb loop model with open boundaries
• Loops, matchings and alternating-sign matrices

Cited by in corpus (2)

• On the non-generic representation theory of the symplectic blob algebra
• A presentation for the symplectic blob algebra