Non-semisimple planar algebras from the representation theory of q (2)

Stephen Moore

doi:10.1142/S0129055X18500174

Non-semisimple planar algebras from the representation theory of q (2)

Stephen Moore^*

^*Corresponding author for this work

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We describe the generators and prove a number of relations for the construction of a planar algebra from the restricted quantum group q(2). This is a diagrammatic description of End q(2)(Xn), where X:= 2+ is a two-dimensional q(2) module.

Original language	English
Article number	1850017
Journal	Reviews in Mathematical Physics
Volume	30
Issue number	9
DOIs	https://doi.org/10.1142/S0129055X18500174
Publication status	Published - 1 Oct 2018
Externally published	Yes

Keywords

non-semisimple
Planar algebras
quantum group
restricted quantum group
tensor category

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10.1142/S0129055X18500174

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title = "Non-semisimple planar algebras from the representation theory of q (2)",

abstract = "We describe the generators and prove a number of relations for the construction of a planar algebra from the restricted quantum group q(2). This is a diagrammatic description of End q(2)(Xn), where X:= 2+ is a two-dimensional q(2) module.",

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KW - Planar algebras

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KW - tensor category

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Non-semisimple planar algebras from the representation theory of q (2)

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Keywords

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