Non-semisimple planar algebras from Ūq(sl2)

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...

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Bibliographic Details
Main Author:	Moore, Stephen
Published:	Cardiff University 2016
Subjects:	512 QA Mathematics
Online Access:	http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702022

id	ndltd-bl.uk-oai-ethos.bl.uk-702022
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spelling	ndltd-bl.uk-oai-ethos.bl.uk-7020222018-06-06T15:21:30ZNon-semisimple planar algebras from Ūq(sl2)Moore, Stephen2016We 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.512QA MathematicsCardiff Universityhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702022http://orca.cf.ac.uk/97662/Electronic Thesis or Dissertation
collection	NDLTD
sources	NDLTD
topic	512 QA Mathematics
spellingShingle	512 QA Mathematics Moore, Stephen Non-semisimple planar algebras from Ūq(sl2)
description	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.
author	Moore, Stephen
author_facet	Moore, Stephen
author_sort	Moore, Stephen
title	Non-semisimple planar algebras from Ūq(sl2)
title_short	Non-semisimple planar algebras from Ūq(sl2)
title_full	Non-semisimple planar algebras from Ūq(sl2)
title_fullStr	Non-semisimple planar algebras from Ūq(sl2)
title_full_unstemmed	Non-semisimple planar algebras from Ūq(sl2)
title_sort	non-semisimple planar algebras from ūq(sl2)
publisher	Cardiff University
publishDate	2016
url	http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702022
work_keys_str_mv	AT moorestephen nonsemisimpleplanaralgebrasfromuqsl2
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Non-semisimple planar algebras from Ūq(sl2)

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