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Non-semisimple planar algebras from Ūq(sl2)

Moore, Stephen 2016. Non-semisimple planar algebras from Ūq(sl2). PhD Thesis, Cardiff University.
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Abstract

We construct examples of non-semisimple tensor categories using planar algebras, with our main focus being on a construction from the restricted quantum group Ūq(sl_2). We describe the generators and prove a number of relations for the Ūq(sl_2) planar algebra, as well as describing diagrammatically various homomorphisms between modules, and conjecture a formula for projections onto indecomposable modules.

Item Type: Thesis (PhD)
Status: Unpublished
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Planar Algebras, Restricted Quantum Groups, Quantum Groups, Subfactors, Fusion Categories, Tensor Categories, sl_2, Non-Semisimple, Restricted Quantum sl_2
Funders: EPSRC
Date of First Compliant Deposit: 23 January 2017
Date of Acceptance: 2 December 2016
Last Modified: 28 Jun 2019 03:02
URI: http://orca.cf.ac.uk/id/eprint/97662

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