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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Bibliographic Details
Main Author: Grant, Jonathan William
Published: Durham University 2016
Subjects:
512
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685697