Diagrammatics for representation categories of quantum Lie superalgebras from skew Howe duality and categorification via foams
In this thesis we generalise quantum skew Howe duality to Lie superalgebras in type A, and show how this gives a categorification of certain representation categories of $\mathfrak{gl}(m|n)$. In particular, we use skew Howe duality to describe a category of representations generated monoidally by th...
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Durham University
2016
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Online Access: | http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685697 |