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Macquarie University  Department of Mathematics

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Categories in Algebra, Geometry and Mathematical Physics

Conference in honour of Ross Street's sixtieth birthday

July 11-16 2005, Macquarie University, Sydney

Sat, 16 July:  9:00 - 9:40

The affine Temperley--Lieb category --- applications to representation theory, operator algebras and physics
Lehrer, Gus (Sydney University)

I shall explain how to construct a category with objects whose
endomorphisms form algebras called the affine Temperley--Lieb algebras.
They may be analysed in the spirit of cellular algebras, and the
homomomorphisms between their functorially defined cell modules are
natural transformations. Arising from this are explicit computations of
discriminants of canonical forms, and other information about the
modules. If time permits I shall indicate some applications to affine
Hecke algebras, Jones' planar algebras and the study of phase changes in

Typeset PDF of this abstract.