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Super $q$–Howe duality
and web categories
Daniel Tubbenhauer, Pedro Vaz and Paul Wedrich |
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Algebraic & Geometric Topology 17 (2017) 3703–3749
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Abstract |
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We use super –Howe duality to provide diagrammatic presentations of an idempotented form of the Hecke algebra and of categories of –modules (and, more generally, –modules) whose objects are tensor generated by exterior and symmetric powers of the vector representations. As an application, we give a representation-theoretic explanation and a diagrammatic version of a known symmetry of colored HOMFLY–PT polynomials. |
Keywords
web categories, quantum Howe duality, quantum Lie
superalgebras, colored HOMFLY-PT polynomials
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Mathematical Subject Classification 2010
Primary: 57M25, 81R50
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References |
Publication
Received: 16 October 2016
Revised: 1 March 2017
Accepted: 12 March 2017
Published: 4 October 2017
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Authors |
| Daniel Tubbenhauer | |
| Mathematisches Institut Universität Bonn Bonn Germany |
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| http://www.math.uni-bonn.de/people/dtubben/ | |
| Pedro Vaz | |
| Institut de Recherche en
Mathématique et Physique Université Catholique de Louvain Louvain-la-Neuve Belgium |
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| http://perso.uclouvain.be/pedro.vaz/ | |
| Paul Wedrich | |
| Department of Mathematics Imperial College London London United Kingdom |
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| http://paul.wedrich.at/ | |
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