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

Abstract

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.

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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

Information

Received: 16 October 2016; Revised: 1 March 2017; Accepted: 12 March 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 06791660
MathSciNet: MR3709658
Digital Object Identifier: 10.2140/agt.2017.17.3703

Subjects:
Primary: 57M25, 81R50

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 6 • 2017
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