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Stephen Moore (Cardiff University)
Thursday 02 March 2017, 14:00-15:00
A generalization of the Temperley-Lieb algebra from restricted quantum sl2
- đ¤ Speaker: Stephen Moore (Cardiff University)
- đ Date & Time: Thursday 02 March 2017, 14:00 - 15:00
- đ Venue: Seminar Room 2, Newton Institute
Abstract
The Temperley-Lieb algebra was introduced in relation to lattice models in statistical mechanics, before being rediscovered in the standard invariant of subfactors. Alternatively, the Temperley-Lieb algebra can be constructed as the centralizer of the quantum group Uq(sl2). Recent work in logarithmic conformal field theory has brought interest to a restricted version of this quantum group. We generalize the Temperley-Lieb construction to the restricted case, describing generators and a number of relations, then describe morphisms between modules, including a conjecture for the formula for projections onto indecomposable modules.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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