Abstract
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.
Citation
Daniel Tubbenhauer. Pedro Vaz. Paul Wedrich. "Super $q$–Howe duality and web categories." Algebr. Geom. Topol. 17 (6) 3703 - 3749, 2017. https://doi.org/10.2140/agt.2017.17.3703
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