Geodesic
Super q–Howe duality and web categories
Tubbenhauer, Daniel1 ; Vaz, Pedro2 ; Wedrich, Paul3
1 Mathematisches Institut, Universität Bonn, Bonn, Germany
2 Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium
3 Department of Mathematics, Imperial College London, London, United Kingdom
Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3703-3749

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We use super q–Howe duality to provide diagrammatic presentations of an idempotented form of the Hecke algebra and of categories of glN–modules (and, more generally, glN|M–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.

DOI : 10.2140/agt.2017.17.3703
Classification : 57M25, 81R50
Keywords: web categories, quantum Howe duality, quantum Lie superalgebras, colored HOMFLY-PT polynomials

Tubbenhauer, Daniel 1 ; Vaz, Pedro 2 ; Wedrich, Paul 3

1 Mathematisches Institut, Universität Bonn, Bonn, Germany
2 Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium
3 Department of Mathematics, Imperial College London, London, United Kingdom 
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Tubbenhauer, Daniel; Vaz, Pedro; Wedrich, Paul. Super q–Howe duality and web categories. Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3703-3749. doi: 10.2140/agt.2017.17.3703

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