Abstract
We use the technique of quantum skew Howe duality to investigate the monoidal category generated by exterior powers of the standard representation of . This produces a complete diagrammatic description of the category in terms of trivalent graphs, with the usual MOY relations plus one additional family of relations. The technique also gives a useful connection between a system of symmetries on and the braiding on the category of –representations which can be used to construct the Alexander polynomial and coloured variants.
Citation
Jonathan Grant. "A generators and relations description of a representation category of $U_q(\mathfrak{gl}(1|1))$." Algebr. Geom. Topol. 16 (1) 509 - 539, 2016. https://doi.org/10.2140/agt.2016.16.509
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