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Seminar by Antonio Sartori (University Bonn)

Title: Graphical calculus for gl(1|1)-representations and their categorification.

2013.11.12 | Christine Dilling

Date Wed 11 Dec
Time 15:15 16:15
Location Aud. D3

Intertwining operators of quantum sl(2)-representations can be used to define the Jones polynomial of links. Similarly, one can define the Alexander polynomial as a quantum invariant using representations of the super Lie algebra gl(1|1).

In the talk, I will present a diagrammatical calculus for tensor representations of gl(1|1) and I will explain how to use it in order to define the Alexander polynomial. I will then sketch a construction of categorification of tensor powers of the vector representation.