Blobs, paths and tiles

Oliver King (University of Leeds)

Wednesday 14th October, 2015 16:00-17:00 Maths 522


The symplectic blob algebra is a quotient of the 2-boundary Temperley-Lieb algebra, which is itself an extension of the Temperley-Lieb algebra. In this talk I will define these objects, construct their cell modules and compute the corresponding Gram determinants. This will involve a discussion on finding good parameterisations and a path basis that lends itself well to tackling this problem. This is joint work with Paul Martin and Alison Parker.

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