Super q-Howe duality and web categories

Dos Santos Santana Forte Vaz, Pedro;Tubbenhauer, Daniel;Wedrich, Paul
(2017) Algebraic & Geometric Topology — Vol. 17, p. 3703-3749 (2017)

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Abstract
We use super q-Howe duality to provide diagrammatic presentations of an idempotented form of the Hecke algebra and of categories of gl(N)-modules (and more generally gl(N|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 symmetry of colored HOMFLY-PT polynomials.
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Dos Santos Santana Forte Vaz, P., Tubbenhauer, D., & Wedrich, P. (2017). Super q-Howe duality and web categories. Algebraic & Geometric Topology, 17, 3703-3749. https://doi.org/10.2140/agt.2017.17.3703 (Original work published 2017)