Temperley-Lieb algebras and diagram algebras

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• Alison Parker, University of Leeds
• Wednesday 29 January 2014, 16:30-17:30
• MR12.

If you have a question about this talk, please contact David Stewart.

The Temperley-Lieb algebra has arisen in many contexts including statistical mechanics, in studying Hecke algebras and knot theory.

The Temperley-Lieb algebra has a natural realisation as a diagram algebra, which lends itself well to various generalisations in many directions.

I will give an overview of the representation theory of the Temperley-Lieb algebra and its many connected diagram algebras, including the blob algebra, the symplectic blob algebra, the Brauer algebra and the partition algebra.

This talk is part of the Algebra and Representation Theory Seminar series.

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